Here is the full list of all 51 Def Jam: Rapstar trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
Finish a playlist containing 10 or more songs
Save 15 recordings to My Videos
Perform a Battle where you score 50,000 points more than your opponent
Win all songs in a Battle playlist containing 5 or more songs
Save 5 Freestyle videos
Save your first Freestyle performance
Launch a playlist in Party mode
Win a Battle by less than 1,000 points
Unlock a song for the first time
Complete your first Challenge in Career mode
Complete Stage 1
Earn 5 microphones on any song in Career mode
Save a video with a visual effect
Use an audio effect on any song in any game mode
Perform a Duet where you score 50,000 points more than your friend
Perform a Battle where both players hit 25 rap targets in a row, at the same time
Collect every trophy in the game
Upload a video to the Community
Rate a video on the Community
Earn the DEF JAM RAPSTAR Seal on a song
Accumulate 10,000,000 total points across all game modes
Perform 30 Battle or Duet performances in Party mode
Accumulate 305 total microphones in Career mode
Watch 50 videos on the Community
Play 300 performances across all game modes
Upload 10 videos to the Community
Get at least "On Point" on 50 performances on HARD difficulty
Complete Stage 2
Complete Stage 3
Complete Stage 4
Complete Stage 5
Complete all High Score Challenges
Complete all Timing Challenges
Complete all Multiplier Challenges
Complete all Platinum Power Challenges
Complete all Endurance Challenges
Complete all Career Mode Challenges
Get 90% or above on pitch, timing, and lyrics while playing any song on HARD difficulty
Upload an "Off The Chain" performance to the Community
Complete a Duet earning an "Off The Chain" rating with both players on HARD difficulty
Get at least "On Point" on a Solo on EXPERT difficulty with the original vocals turned off
Get a combined 2,000 views for all your uploaded videos
Get an average rating of 4 stars on any video with over 200 ratings
Get "Off The Chain" on all songs in a playlist containing 5 or more songs
Get "Off The Chain" on the Solo version of Gold Digger
Activate Platinum Power 4 times in one song
Get a "DOPE" lyric rating on every phrase in a song
Get at least "On Point" on one song from Lil Wayne and one from Kanye West
Get at least "On Point" on 5 different songs released before 1990
Get at least "On Point" on 5 different songs that mention a city by name
Unlock all locked content in Career mode