Here is the full list of all 35 Surface Rush trophies - there are 14 bronze, 16 silver, 4 gold and 1 platinum.
Complete All Trophies
Complete the tutorial.
Complete 12 levels on "Classic" mode.
Complete 24 levels on "Classic" mode.
Complete 36 levels on "Classic" mode.
Complete 60 levels on "Classic" mode.
Complete 12 levels on “One Shot” Gamemode.
Complete 24 levels on “One Shot” Gamemode.
Complete 12 levels on "Timer" mode.
Complete 24 levels on "Timer" mode.
Complete 12 levels on "Precision" mode.
Complete 24 levels on "Precision" mode.
Get 12 Stars in total.
Get 36 Stars in total.
Get 72 Stars in total.
Get 108 Stars in total.
Get 180 Stars in total.
Get 396 Stars in total.
Die for the first time.
Die 50 times.
Die 150 times.
Detonate 1000 Bombs.
Bounce off walls 100 times.
Bounce off walls 1000 times.
Bounce off walls 2500 times.
Bounce off walls 5000 times.
Buy something in the shop for the first time.
Spend 5000 coins in the shop.
Buy a Skin with max stats.
Buy all the Skins in the shop.
Buy all the Trails in the shop.
Buy all the Colors in the shop.
Get 60 or more Coins in one level.
Accumulate 1000 or more coins in total.
Obtain one single coin on any level.