Here is the full list of all 35 Koi-Koi Japan Hanafuda playing cards achievements.
Win 500 times.
[Multiplayer]Win 100 times.
Complete "Light Five" Yaku 10 times.
[Multiplayer]Earn 20 points or more with 1 Stop.
[Multiplayer]Win 10 times.
Complete "Light Four" Yaku 10 times.
Collect each variety of postcard.
Complete "Red and Blue Ribbons" Yaku.
Complete all Yaku.
Win 100 times.
Defeat opponents from all areas in Collection Mode.
[Multiplayer]Defeat opponent for the first time.
[Multiplayer]Quit Tutorial Mode.
Complete "Light Three" Yaku 10 times.
Earn 20 points or more with 1 Stop.
Call Stop after your opponent calls Koi Koi.
Get 10 successive wins.
Win 10 times.
Complete "Light Five" Yaku.
Get 5 successive wins.
Complete "Red Ribbon" Yaku.
Complete "Boar, Deer, Butterfly" Yaku 5 times.
Form 5 Yaku or more in 1 round.
Defeat opponent for the first time.
Complete "Boar, Deer, Butterfly" Yaku.
Complete "Light Four" Yaku.
Call Koi Koi, form a new Yaku, and call Stop.
Earn 10 points or more with 1 Stop.
Complete "Rain Light Four" Yaku.
Complete "Cherry Blossom and Cup" Yaku.
Complete "Light Three" Yaku.
Form 3 Yaku or more in 1 round.
Complete "Blue Ribbon" Yaku.
Complete "Moon and Cup" Yaku.
Quit Tutorial Mode.