RTTS Back-To-Back 
Hit consecutive home runs in one game with your RTTS Player.
In consecutive at bats, hit two home runs. I created a third RTTS career for this trophy and simulated all the way to the Major Leagues, at which point my player had more than enough power to hit back-to-back home runs.
Sim Game Do not allow a run in any RTTS simulated game training.
While a pitcher in RTTS, you will get a 3-inning training game simulation. The batters hit at a much higher difficulty level so mix it up and don't be afraid to pitch out of the zone. If you don't get it the first time, don't worry, there are many opportunities.
RTTS Road Warrior Win 8 out of 10 starts on the road in RTTS on All-Star or higher difficulty.
Do not skip any games, home or away. You cannot fast forward either. You must play the games. If you have a bad first couple innings or you find yourself on the losing end at the end of the game, hit the
button and quit out of the game. You will then be able to replay the entire game.
Season Trophies
Around the World Play a game in every Major League stadium.
Play Season Mode and at the beginning of every game you can select a stadium. Start at the top of the list and work your way down. It will work with 1 inning games*, however, you cannot fast forward.
*Credit to Ultramagnus1780
Contender Make the postseason in Franchise or Season Mode (without simulating more than 82 games.)
See "Victory is Mine!"
Pennant Race 
Capture a division title. (Simulating any games in the postseason will negate the trophy. Cannot simulate more than 82 games prior to making the postseason.)
See "Victory is Mine!"
Victory Is MINE! 
Win the World Series. (Simulating any games in the postseason will negate the trophy. Cannot simulate more than 82 games prior to making the postseason.)
You can play the game normally and get this. To get it quickly you can start a season, take your team of choice and edit the starting lineup stats to max. Edit your pitchers as well. To save time, you can download "Wozamils Trophy Team" from the roster vault and play as the Angels. Simulate the first 82 games.
Once you start having to play the games, make sure you don't simulate any more games. Once each game starts, hit pause and select fast forward to end of the game. Do this for every remaining game and the entire post season. You will unlock
Contender,
Pennant Race, and
Victory is Mine!
It'll take about 2.5 hours total.
Online Trophies
Online Gamer Reach 100 MLB Points.
See "Online Fame"
Online Fame Reach 500 MLB Points.
Play games online and reach 500 points. Most games it's +10 points for the win, -10 points for losing, unless you play someone of much higher level than you. You can spend 50-100 hours online getting this......or you can boost it in 5-10 hours by visiting the boosting thread
HERE.
Much Cooler This Year... Join and complete an online league. (Must play 60% of the games).
Find a league in this thread
HERE.
I recommend finding a 6 person, 1 series, round robin league. If no one is looking for more players, I suggest starting one yourself.
Miscellaneous Trophies
Back-To-Back Hit back-to-back home runs in any mode (Excludes HRD and Practice).
If you're having trouble with this one, go to edit player mode and give all your players max power.
Take It back Rob a home run in any game mode.
There will be a red circle at the base of the wall. When the circle reaches it's smallest, hit
. You can play with 2 controllers and pitch yourself fastballs down the center of the plate. Edit the opposing team and give them power ratings around 80. Adjust sliders for max Power. Increase fielder Speed and activate Fast Run trophy award if you have it unlocked.
Tres Bien In any mode, have a three-pitch inning with any pitcher versus the CPU.
Select an Exhibition game. Select 1 inning game length. Be the Visitor team. When the CPU is at bat, throw 2 balls out of the zone followed by a meatball right down the middle. Allow the runner to get an inside the park home run. Keep your fielders away from the ball with the
button
*Credit to Ultramagnus1780
Sawed Off In any mode, break the hitter's bat.
This should occur during your RTTS pitcher games. If not, Nolan Ryan on the Silver Era does a nice job. Best achieved with fastballs inside, just off the plate.
Director Create and save a highlight movie using the Movie Maker feature.
During the game, go to Movie Maker from the pause menu. Find any play and hit
to select it then
to advance. To quickly get the trophy, simply hit
to exit edit mode and hit
to record. Don't hit any other button and the trophy is yours.
On the Rocks In any mode, hit a home run into the rocks in left-center in Anaheim.
Select Home Run Derby from main menu, Babe Ruth as your player, and Anaheim as your stadium.
Basket Case In any mode, hit a home run into the basket that lines the wall at Wrigley Field.
In Home Run Derby, hit the ball into the basket that hangs from the top of the outfield wall from left field to right field. A player with lower power rating is your best bet.
Monster Killer Hit two home runs over the Green Monster in any single game played in Boston (Excludes HRD and Practice).
Edit any team to have max Power, or download "Wozamils Trophy Team" from the trophy vault and play as the Angels. Increase sliders to max Power. Select Fenway Park.
Bobbing For Apples In any mode, hit a home run that hits the center-field apple at Citi-Field.
This is the most difficult of the home run trophies. Select a player with better than average power and aim for dead center field. The apple is in a box on the other side of the outfield fence. I did it a few times with Kevin Youkilis from Boston.
Splish Splash In any mode, hit a home run over the RF wall into the water of the San Francisco bay.
Any power hitting left hander is a good choice, ie, Babe Ruth. Again, select Home Run Derby
Scrap Metal In any mode, hit a home run into the Western Metal Supply Company building in San Diego.
A power hitting righty is your best player in Home Run Derby mode in San Diego.
King Of The Hill In any mode, hit a home run to dead center in Minute Maid Park.
Babe Ruth is a great choice to hit one out to center field while playing Home Run Derby.
Sight Seeing In any mode, hit a home run off of the glass in center field at Rogers Centre.
Select Home Run Derby, and Babe Ruth once again. Just keep aiming for center and you'll get it.
A Good Start Strike out 15 batters in a single game in any mode versus the CPU.
Any pitcher can get this, but the best would be Nolan Ryan from the Silver Era team. Play an Exhibition game against a AA team. Adjust sliders for max Stamina and Accuracy. Let any pop flies drop and let all runners beat any throw to first to preserve outs. With Ryan, throw many fastballs and occassionally mix another pitch. But ride that fastball.