Here is the full list of all 37 Nary achievements.
Finish the Deserted Paradise
Finish the Ancient Graveyard
Finish the Barren Mountains
Finish the Mysterious Forest
Finish the Thorny Jungle
Finish the Gloomy Caves
Finish the Solitary Dungeon
Finish the Game (any Ending)
Finish a level without any modes or items
Finish the Deserted Paradise with a "Sunken Tombs" mode
Collect 99 coins in one "Leprechaun" run
Kill >90.00 foes with a "One Punch" mode
Finish the Jungle level with a "Sharingan" mode
Survive 12 seconds in a "Bolt" mode
Kill 15 foes in "Reverse" mode
Survive 10 seconds in a "Ghost" mode
Collect 9 herbs in "Flap" mode using the "Herb Knife"
Die in the first 7 seconds of a level
Jump 250 times
Die on the Spikes on the Ceiling
Finish a level without skipping a single foe
Miss 10 times
Survive 7 Eye clips
Jump on 9 heads using an "Italian" mode
Jump 29 times while "Drunk"
Manually pick up 49 coins using the "Pick em' Up" mode
Die 5 times. Your Head now get Cursed.
Get cursed 5 times
Slay 99 foes
Combine some stuff to become a Pirate
Become the "full" Santa by a chance!
Accept some suspicious offer
Deny an offer from a Stranger
Get rewarded for your Good Deeds
Finish the game as the Good Boy
Finish 3 levels in a row in the "Ironman" mode
You have seen it all.