Here is the full list of all 31 The Legend of Korra trophies - there are 12 bronze, 14 silver, 4 gold and 1 platinum.
Got all other trophies.
Collected 10 cabbages.
Collected every treasure item.
Purchased 12 talismans.
Spirit-bended 200 dark spirits.
Completed the game on Extreme difficulty.
Completed the highest difficulty of Pro-bending.
Got 10 knock-outs in Pro-bending matches.
Won a Face-Off in a Pro-bending match.
Maxed out all bending types.
Went into Avatar State 10 times.
Obtained all combos.
Performed 100 Finishing Moves.
Completed a Naga Running sequence without hitting anything.
Completed Chapter 8.
Completed all tutorials.
Dodged 100 times.
Completed Chapter 7.
Completed Chapter 6.
Countered 100 times.
Completed Chapter 5.
Went into Clash Mode 10 times.
Completed Chapter 4.
Completed Chapter 3.
Jumped 100 times.
Used your first equipped item.
Entered the Collection Screen for the first time after finding a treasure.
Equipped your first item on the Korra's Room.
Bought your first item at the shop.
Completed Chapter 2.
Completed Chapter 1.