Here is the full list of all 34 NBA LIVE 16 trophies - there are 16 bronze, 12 silver, 5 gold and 1 platinum.
Have at least one player shoot 100% from behind the arc (min 10 attempts)
Earn 3 Stars in every game at any 5 Summer Circuit venues
Make a trade for a player with an OVR rating of 90 or higher in Dynasty
Change your player's Jump Shot
Obtain an 85 or higher OVR rating for your Created Player
Win a Championship in Dynasty or Rising Star
Win the MVP in Rising Star
Make the All-Star Team in Rising Star
Get a steal out of a successful double team
Complete 50 Fantasy Challenge games in NBA LIVE Ultimate Team
Complete Level 2 of the GM List in NBA LIVE Ultimate Team
Complete Level 1 of the GM List in NBA LIVE Ultimate Team
Build an NBA LIVE Ultimate Team where all players have an OVR rating of 78 or higher
Successfully execute a recommended play that ends in a score
Play an Online Head to Head game
Use pick and roll that leads to a score
Block a dunk
Earn 3 Stars in every game at any Summer Circuit venue
Have at least one player score 100 points
Complete 5 handoff passes in a single game
Size up an opponent one on one and then drive to score
Earn 3 Stars in a Summer Circuit game at any venue
Win a Summer Circuit game at any venue
Win a LIVE Run game
Complete a game with a Short Term Player in NBA LIVE Ultimate Team
Complete a game in NBA LIVE Ultimate Team
Purchase an item in the Create a Player Store
Complete 3 alley-oops in a game
Earn a total Challenge Score of at least 4000
Complete a drill in NBA LIVE Learn Live
Create your NBA LIVE 16 Player
Collect All Trophies
Reconstruct any NBA team in NBA LIVE Ultimate Team
Complete a Big Moment challenge within 24 hours of it being posted