Here is the full list of all 31 Governor of Poker 3 achievements.
Win 5000 hands in any poker game type
Win 10000 hands in any poker game type
Win 50000 hands in any poker game type
Win a hand with a royal flush
Reach level 60
Win 2000 hands in any poker game type
Reach level 50
Win a hand with four of a kind
Win a hand with a straight flush
Win 1000 hands in any poker game type
Reach level 40
Win 500 hands in any poker game type
Reach level 30
Unlock 15 saloons
Win a badge in any sit n go tournament
Win 100 hands in any poker game type
Reach level 20
Do a rebuy in any poker game
Unlock 10 saloons
Win 50 hands in any poker game type
Win a hand with a straight
Reach level 10
Win 10 hands in any poker game type
Win a hand with a highcard
Unlock 5 saloons
Play a sit n go poker game
Win a hand with two pair
Win a hand with fullhouse
Reach level 3
Win a hand with a flush
Win a hand with three of a kind