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