Here is the full list of all 60 TileTurn achievements.
Astronaut Girl
Cat Girl Blue
Cloud Dark Elf
Black Cat
Blonde Knight
Moon Girl
Beach Girl
Elf Mask
Cyber Girl
Fight Demon
Cat Slime
Dark Energy Guy
Lightning Girl
Slug Girl
Two Cats
Dark Elf
Cave Serpent
Owl
Devil
Butterfly
Mystical Creatures
Ice Genasi
Fire Girl
Girl Swimsuit
Rabbit
Silver Girl Astronaut
Fairy Blue
Girl Mushrooms
Girl Armor
Dragon Cat
Girl Horns
Paint Girl
Landscape Japanese
Genasi Flowers
Girl Tattoo
Okami
Phoenix
38_GirlUnderBridge
Origami Dragon
Style Japanese
Remura
Winter Elf
Different Eyes Elf
Dark Astronaut
Ogre Jungle Girl
Girl Sketch
Rainbow Elf
Girl Sunflowers
Girl Doing
Red Demoness
Cloud Girl
Pink Demoness
Two Girls Watching
Girl Notes
Girl Sunglasses
Girl Jagades
Oger Bonfire
Girl Kimono
Mochi Cats
Elf Bottom Up