Here is the full list of all 17 Rummy 3D Premium achievements.
Play 25 Hands
Play 50 Hands
Play 100 Hands
Play 250 Hands
Play 10 Games
Play 25 Games
Play 50 Games
Play 100 Games
Play 10 hands online
Play 50 hands online
Play 100 hands online
Play 500 hands online
Achieve a place in highscores
Achieve a place in top 3 highscores
Achieve 1st place in highscores
Meld all cards at once
Make a meld containing King-Ace-2