Here is the full list of all 22 Remy Raccoon and the Lost Temple achievements.
Collect 500 gems
Collect 2,500 gems
Collect 10,000 gems
Complete 3 consecutive levels without dying
Complete 5 consecutive levels without dying
Complete 10 consecutive levels without dying
Complete 5 consecutive random levels
Complete 10 consecutive random levels
Complete 15 consecutive random levels
Find 5 hidden runes
Find 10 hidden runes
Find 20 hidden runes
Attempt 20 levels
Attempt 100 levels
Attempt 200 levels
Complete level 10
Complete level 50
Complete level 100
Total of survival mode high scores - 100 gems
Total of survival mode high scores - 250 gems
Total of survival mode high scores - 500 gems
Unlock all other idols