Kura Puzzles are unlocked the same way Wallpapers are, which is when certain events are triggered. Here is a list of all 56 puzzles you can currently unlock.
#1- Automatically obtained when you start Yume 2kki.
#2 - Painter-kun's Painting
- Interact with Painter-kun in the Art Gallery
#4 - Green Juice
- Interact with Aojiru ("Cripple-Tan") at the Hospital
#6 - Square - Wake up after your money is at least 800.
#10 - In Vain - When you get a certain number of effects.
#11 - Insect - When you get the Bug effect.
#12 - Hakoko & Megusuri Uri
- Interact with Hakoko at the Eyeball Shop
#13 - Darkness
- When you go through the tunnel on the Highway
#15 - Director's House
- Unlock Wallpapers
#64, #85, and #88.
#17 - Bane-kun - When you get the Spring effect.
#23 - Little Red Riding Hood & Apple - When you get the Red Riding Hood effect.
#24 - The Grudge
- Cutting the rope at the well in Fairy Tale Woods
and getting captured.
#29 - Penguin - When you get the Penguin effect.
#30 - Black Witch
- After chainsawing the sane Shadow Woman in Forest World
, going underground and then emerging.
#31 - Eyeball Human
- When you encounter the Eyeball People in the Spelling Room
#32 - Urotsuki_RT - When you get the Chainsaw effect.
#34 - End
- When you pass by the meteor along Highway
(near the tunnel).
#35 - Would You Like To Dream? - After you go to sleep 30 times.
#36 - Elf - When you get the Fairy effect.
#38 - Tear
- When you chainsaw a stick person in the Penguin Game
#43 - Uro & T-Shirt-kun
- Interact with the blue NPC at the end of the Arrow Maze
#45 - Each World
- When you go through all of the Nexus
#46 - NULL MI
- After looking up at the ceiling of the inescapable room in Binary World's
#47 - Idenshideau
- After meeting the fish in the jar in Green Binary World
#49 - ジェイ子
- When you are chainsawed by the hockey mask girl in GALAXY Town
#50 - 暗彩光を飛ぶ
- After encountering It Came from Behind in the Neon City
#51 - Coffee Urotsuki
- When you have a cup of coffee at the cafe in the Eyeball Archives
#52 - 退水の先に
- When you approach the pink structure in the Polluted Swamp
#53 - Within the Cage
- When you find the caged Shadow Bird in the Halloween Forest part of the Cat Cemetery
#54 - Nigella - After you wake up when you have some money.
#55 - 揺蕩うくじら
- When you enter Paradise
for the first time.