Congratulations on the Platinum.

You can get this simply by playing the game. However, the way I did it was all on the first level. Don't worry about going into the buildings. You do not even have to destroy any cars or planes either. Open every chest in the level (minus the one I think you need the pogo stick for) and then die. Repeat and you should get the trophy.
Single coin = 10 and money bags = 100.

Options -> easy and max lives. I used the robot for the speed, but any character really will do. Try not to get hit too many times getting to the boss guy as he did quite a bit of damage to me. Remember, you do not have to beat mission 3 without losing a life, just get to mission 3. That means only having to beat mission 1 and 2.

Be sure to hit every enemy that carries a power up and make sure you collect that power up. By getting through the level you should easily have at or over 100,000 points.

Head north after getting off the boat. You'll face several enemies. Once these are all taken care of, you'll have a brief conversation with someone. After this you should be outside of a house. Head left. Keep heading left, you'll have to go slightly up or down, but head left. You'll soon find yourself near a bridge heading north. Go across and you'll find yourself in the castle.
Head up and right once inside and go through the stairwell. Now head south, west, then north and enter those stairs. You'll be in the throne room now, so talk with the king and you'll get the red key. Head back to where you started outside the building.
Head east. If you get lost, hit L1 to see the map. You want to get to the flag. You'll go up some steps, fight a couple of guys possibly, and eventually head south and then west to find the water temple. Go inside.
The next few rooms will require a key to advance, so kill enemies and open chests for them. There is a room with puddles of slime. If you head left and up you'll find the key in the possession of the last red one. The next room just continually jump and head north to beat the rushing water.
You'll eventually come to the boss. Defeat him (pretty easy) and keep heading north to get the trophy.

Easiest method to get this is as follows. Start off by shooting the guy to the right. Keep heading that way and you'll see a shut door with a cop on the other side. Open the door and it will knock into the cop, knocking him out. This gives you 1,000 points. Go back a few steps the way you came and the door should shut. Go open it again for another 1,000 points. Repeat until you have the trophy.

Set the game on easy and select easy mode when prompted. This could take you a few attempts to get it as the game speeds up at a certain point. Just match 3 like colors in a row, column, or diagonal. The game will speed up, but as long as you keep up with it it will slow back down some.
*You can pause the game and the whole screen is still shown. If the game gets too fast for you, pause so you can map out where to put pieces.
*Tip by Lamplitersniper* Play Columns on Easy then go to "menu" then 1P game and then "novice". That version is slower and way easier then the "arcade" version on easy-easy.

This game can be frustrating and difficult. However, if you want you can use this cheat to get infinite life and then just play through the episode.
On the main screen go to options, and then jukebox. Hit the circle button on the following numbers in order:
3, 12, 17, 2, 2, 10, 2, 7, 7, 11
You'll hear audio confirmation in the form of OH YEAH!

Bonus coins are found by destroying the statues like the 2 to your left when you start the game. There is typically 1 coin per level, however level 1-3 has 2. Not a hard game, so this shouldn't prove too difficult.

Swim to the right and use your sonar on the other dolphin. That's it.

Very easy trophy, but boring to get. Takes around 5 minutes of doing this for it to unlock. When you start you can go up a screen slightly to the right. Swim up and you should see a school of orange fish. Swim up and down using the dash and eat until the trophy shows up. There are many different schools around, so take your pick as well. You can also play through the game and eat fish as you go by them.

Go to options and max lives and play it on easy. Get through mission 1. It's not terribly difficult. Remember you can do a high jump by pushing Up along with jump. Crouching and shooting is so very important. The end boss is a helicopter who has a planned out route. It shouldn't take that much effort.
Now to mission 2. From the start, head right and take your first up. Some have had trouble with where to go up at, here's a picture to help.

Your goal now is to work right to left, left to right. There are only 2 types of enemies you'll face here, both of which can be easily dealt with by shooting while crouched. Make your way all the way to the left, then drop down. Now make your way to the right, and drop down. Repeat until you are heading right and there is an arrow with GO on it before the gap. Jump across and head right.
Now you want to jump over to the conveyors closest to the camera, make your way right by jumping, then jump over the fence behind you. 2 bosses will drop now, simply stay in the middle of the area and shoot while crouched. One will occasionally crouch and shoot back which you can block by shooting. You should not get hit at all if done right. Also, the bosses suits will blow up before they actually die, don't be fooled.
At the next screen you'll get the trophy.

The easiest way to get this trophy is to save after each level. Then if you die trying to find the next staircase, load the game and go another way.
There is a theory the stairs are north and east from the point you start at. I found this to be not accurate at all, at least in my game. Perhaps try that direction first and if it's not found, load and go another.
*If you run low on health, find a safe spot and walk back and forth to regain lost health.

This was hard for me too, but once I got the hang of it it was a breeze. Your main goal should be getting the necessary number of chicks to the exit all in one chain. The quicker you do this, the more bonus points you get for time. I'm not 100% sure on the time, but I think under 15 seconds you get a 20k point bonus.
The bonus round will be after the first 2 levels. Try to get all of the chicks as this will get you a 10k bonus, along with the points for each chick.
I found this video on YouTube, post by mint301, that shows this strategy that I outlined here. You do not need the whole video, just watch 0:09 - 1:15.

This will most likely take 3 levels worth of play to collect all 20. When you see a small enemy (thief) with blue on, hit him as many times as you can. Usually this is 2-3 times and each time he will drop a magic power up.

You need to keep the game set on normal, however you can max lives. Tower level is level 3 and you must complete this level to get the trophy. Simple, good playing strategy is all that's needed here. Save magic for when you really need it.

You will get this trophy most likely during the 3rd level. Make sure to use one magic vial at a time. Whenever you see a blue thief, hit him as many times as possible as he will drop a vial each time. Also, treasure chests can contain vials.

This is a simple silver trophy to get. The power up you want is located on level 4. Power ups are gotten from some "P Blocks." Not all will drop a power up, but there a numerous ones. Nothing matters in the first 3 levels, so just complete them quickly. When you get to level 4, just hit every P block and you'll find the power up.
*One part did confuse me for about a solid minute...it really drove me nuts. One of the power ups makes you look like a knight and it allows you to climb walls by continuously hitting Circle.

These stars are the ones that give you health. They are in chests, holes, and can be found by headbutting walls. Play through the game and search these places. Should take you about 3 levels worth to have the trophy.
*Tip submitted by ReaperZer0* You can use the cheat code MIEMIE to allow the game to show where hidden items are. A blue star will be shown where one is located. He stated only having to play 2 levels to get the required 5 stars.

I'd recommend trying to get to the end without using a password, however using one is the quickest method. By playing through the game you'll learn the ins and outs of it and be more skilled when you go against Robotnik.
To use the code to skip to the last level, go to continue and enter: Yellow, Has Bean, Blue, Blue. The has bean is the orange character.
Move fast! If you don't, you're more than likely just delaying your loss.

Go to options and put it on easy and max shurikins. This is extremely easy to get done. For regular enemies be sure to duck and throw, or jump and throw depending on the enemy location. At some point in the level there are spikes that go up and down. Just be patient and don't make a bad jump. There are a few enemies that have large swords and do a charge up attack, and then the attack shoots out at you. Time the attack right and jump over it, then attack him.
The boss of the level is easily taken care of as well. Let him get close to you and he will attempt to hit you. At this time, the boss exposes himself. Take that time to hit him. He'll charge at you so jump over him. Repeat this process from left to right until he is defeated.

In the first level, get to the end with at least 50 rings. There you'll find a giant ring and you want to jump into it. Now you'll need to guide Sonic down and to the left. If done right, you'll see an emerald with gems surrounding it. Try and have Sonic hit a whole line of gems and fall into the emerald.
*If you want to, save after jumping into the ring. If you fail to get the emerald, load your game to try again.

This is an easy gold trophy. Start a new game and select to play as Tails only. Now just collect a total of 100 rings on the first level. At one point the boss will scorch the level...that's not the end of the level so don't worry. Keep going and you should be able to get 100 rings without much trouble. Oh, and don't get hit if you can help it.

Flickies are found after defeating an enemy. There are a total of 10 per level and you can have 5 with you at once. When you have some with you, you'll want to find the giant rings. Jump and grab onto one to rescue those with you.
It will take 2 levels of play to get this trophy.

Another pretty easy gold trophy. You should be able to start playing and learn what to hit and do to get points.
Remember you can control Sonic some while shooting all over the place; use this to your advantage. Getting an emerald is worth 500,000 so try to get as many as you can. You can die and keep the score going. All the points you've acquired in that one life are added onto your current point total, and you're given another life. You will run out of lives, however this gives you many chances to get the 10,000,000 needed.

Go to options and change it to HARD. Max your lives out. Now in game just stay in the top left corner of the screen and shoot non-stop. Nothing will hit you and your points will climb. The boss can and will hit you.
The boss you'll fight is simple. Do a large circular motion while shooting the whole time. Nothing should hit you and you'll destroy him.
Toward the end you'll start to fly over a carrier. I did not have the trophy at this point (had around 1.2 million). Just go left to right and shoot. It'll unlock shortly.

Go to options and max lives and set it to easy. Now simply beat the first level with each of the 3 characters. Once you beat the level, reset the game and use another.
*I save my special for the boss as it makes it much quicker.

Go to options and set it to easy and max lives. You're aiming at beating level 2 to get this trophy. You'll fight a clown boss as well as Roo. Simply defeat the clown boss and not Roo, and he will run away.

If you are decent at this game, play it as normal collecting as many of the "*" icons as you can. You'll have this around level 4.

*Tip submitted by Jynxi* From the start head right until you have no choice but to drop down. Drop or jump down and you should see a canon to your right on the wall. The small area right next to it (on the right) has 4 mosquitoes that will swarm around. These will always respawn as long as you move away and come back. I ran to the right until your character stops, then move back left. Not every mosquito will drop photons, but it's enough to get the trophy. You'll lose a couple of lives, but you'll start right back there and it will keep count. It will take most likely 15-20 minutes with this method.

When you get into the game, pause it and press this sequence:
Up, Right, Square, Triangle, Square, Down, Left, Square, Down, Start.
Move the first line to the right until you see Dig 2. Pick Dig 2, and you have the trophy.

You can quit the game right after you see the SEGA load screen. Let it disappear, and quit out and pick the next one. This should all be done in one session.

At the main screen, hit Triangle and it will take you to a screen with items that have locks on them. It will tell you what to do to unlock it. Most of these coincide with other trophies, however check what ones you need to be sure.
*The one for Sonic 2 requires beating the first boss with 2 players. You can do this solo by having another controller on. When you get to the boss, jump or hit the boss with controller 2 at least once. Then beat him as normal with your main controller.

You don't have to sit through each video in it's entirety. You can start the video and then back out. You'll unlock the videos by working toward the trophy Master the System.

On the main screen, hit Circle to get to the musuem. You'll need to hit X on each box art and case art. Do this for all the games and the trophy is yours.

Go into the Extra's Menu and start every arcade title. These are unlocked by various requirements. The game tells you what is needed if one is locked. You'll get these all unlocked by going for the trophy Master the System.