Here is the full list of all 12 Lara Croft and the Guardian of Light trophies - there are 7 bronze, 4 silver and 1 gold.
Jump from Totec's shield while he is jumping
Reflect an enemy's projectile back to him using Totec's shield
Catch Totec with the grapple while he is jumping over a death fall
Play Co-op mode
Collect all relics, artifacts and weapons
Regain the Mirror of Smoke
Vanquish the summoned beast in the watery depths
Activate all of the spikes at once in the Spider Tomb spike field
Kill 3 enemies with one bomb
Collect all 10 red skulls in any single level
Earn the top score objective in any level
Complete any level-specific Reward Challenge