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