Here is the full list of all 20 Poker Night at the Inventory achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
Win a full game.
Win a showdown where you and the opponent have same hand (pair or better) and you have a better kicker.
Win a hand with a Full House.
Win a hand with a Flush.
Win a hand with Four of a Kind.
Win 12 or more hands.
Win three straight pots.
Win a pot with two or more opponents when you are all in.
Win a hand with a Straight.
Win a hand with a 6 card and a 9 card of any suit.
Win a game on hard.
Win a showdown with just a high card.
Check a pat hand.
Win consecutive all-ins.
Knock out Max after he's bought in with his special item.
Knock out Tycho after he's bought in with his special item.
Knock out Strong Bad after he's bought in with his special item.
Win a hand with a Straight Flush.
Knock out The Heavy after he's bought in with his special item.
Win a hand when you have three of a kind comprised of three kings (of any suit).