There is no guide for this game yet. But apparently it is EASY POINTS!
Peruvian Tomb Raider - 40 points
Collect all the artifacts and relics in Peru.
Weapon Master I - 10 points
Collect the Magnum weapon.
Egyptian Tomb Raider - 40 points
Collect all the artifacts and relics in Egypt.
Weapon Master II - 10 points
Collect the Uzi weapon.
Greek Tomb Raider - 40 points
Collect all the artifacts and relics in Greece.
Weapon Master III - 10 points
Collect the Shotgun weapon.
Lost Island Tomb Raider - 40 points
Collect all the artifacts and relics in Lost Island.
Slayer I - 30 points
Defeat the T-Rex without dying (Peru).
Slayer II - 30 points
Defeat the Twin Centaur Bosses without dying (Greece).
Slayer III - 30 points
Defeat the Torso Boss without dying (Lost Island).
Slayer IV - 40 points
Defeat Natla without dying (Lost Island).
Easy Game - 20 points
Complete the game on Easy difficulty.
Medium Game - 25 points
Complete the game on Medium difficulty (includes Easy Game achievement).
Hard Game - 45 points
Complete the game on Hard difficulty (includes Easy and Medium Game achievements).
Croft Manor Speed Run - 30 points
Complete the Croft Manor Time Trial.
Peruvian Speed Run - 30 points
Complete all the Peru Time Trials.
Greek Speed Run - 30 points
Complete all the Greece Time Trials.
Egyptian Speed Run - 30 points
Complete all the Egypt Time Trials.
Lost Island Speed Run - 30 points
Complete all the Lost Island Time Trials.
IRON Raider in Peru - 35 points
Complete Peru without dying.
IRON Raider in Greece - 35 points
Complete Greece without dying.
IRON Raider in Egypt - 40 points
Complete Egypt without dying.
IRON Raider on Lost Island - 40 points
Complete Lost Island without dying.
Good Show in Peru! - 35 points
Complete all the Peru Super Actions without fail (first try).
Good Show in Greece! - 35 points
Complete all the Greece Super Actions without fail (first try).
Good Show in Egypt! - 35 points
Complete all the Egypt Super Actions without fail (first try).
Good Show on Lost Island! - 35 points
Complete all the Lost Island Super Actions without fail (first try).
Secret Achievements
Croft Manor - 20 points
Completed all challenges in the Croft Manor.
Gears of Doom! - 30 points
Completed the Peru gear puzzle without dying.
Lightning Never Strikes Twice - 30 points
Completed the Hephaestus room in Greece without being struck by lightning.
Egyptian Seals - 35 points
Collected the seals of Anubis, Horus, Isis, and Osiris without dying.
Central Shaft Survivor - 35 points
Completed the central shaft in the Lost Island without dying.