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