Here is the full list of all 26 MLB The Show 20 trophies - there are 9 bronze, 9 silver, 7 gold and 1 platinum.
Collect any 30 Gold tier player cards. (Complete this trophy within Diamond Dynasty "Collect" menu, inside the "Collections" tile.)
Score a run or more in each inning of a full 9-inning game. (This trophy is not awarded if completed in a local multiplayer game, practice mode, RTTS, or by switching teams.)
Equip your entire Diamond Dynasty team with Gold tier player cards or better. (Set 25 player roster in My Squad.)
Collect all 30 Major League Baseball Stadium cards. (Complete this trophy within Diamond Dynasty "Collect" menu, inside the "Collections" tile.)
Collect any Diamond level player card. (Complete this trophy within Diamond Dynasty "Collect" menu, inside the "Collections" tile.)
Conquer any conquest map to 100% completion (Not including the "Starter Map.")
Win a Final Showdown in Diamond Dynasty.
Tie the score after being down by 3 runs in a game. (This trophy is not awarded if completed in a local multiplayer game, practice mode, or by switching teams.)
Accumulate 10,000 points or more in one session of any single week of Challenge of the Week.
Have the same player collect two RBI's before scoring a run within a game. (This trophy is not awarded if completed in a local multiplayer game, practice mode, or by switching teams.)
Complete any Diamond Dynasty Moment. (Not including the "tutorial" or a "Showdown.")
Reach level 10 in your Universal Profile.
Collect any 10 equipment items. (Complete this trophy within Diamond Dynasty "Collect" menu, inside the "Collections" tile.)
Collect any Silver tier Legend or Flashback card. (Complete this trophy within Diamond Dynasty "Collect" menu, inside the "Collections" tile.)
Equip a nameplate and icon onto your Universal Profile.
Hit a 400+ ft home run.
Hit with "Perfect Hit" contact for a home run.
Participate in a Diamond Dynasty Showdown.
Strike out a batter with three pitches. (This trophy is not awarded if quick counts are on, if completed in a local multiplayer game, practice mode, or by switching teams.)
Earn all of The Show™ 20 Trophies.
Reach Silver level 1 in your Universal Profile.
Complete a full regular season in March to October.
Reach level 50 in your Universal Profile.
Equip any new bat slam animation onto your Road to the Show or Diamond Dynasty character.
Throw a "Perfect Throw" to home for an out from the outfield. (This trophy is not awarded if completed in a local multiplayer game, practice mode, or by switching teams.)
Throw out a runner attempting to steal by hitting the "Perfect Throw." (This trophy is not awarded if completed in a local multiplayer game, practice mode, or by switching teams.)