There's a card game called Tonk that was very popular with the soldiers in Glen Cook's Black Company novels. The rules for that are in Green Ronin's Black Company Campaign Setting.
There's also Three Dragon Ante, a card game available from Wizards of the Coast.
As far as dice games...you could try Pirate's Dice, as featured in Pirates of the Caribbean - Dead Man's Chest. If you haven't seen it, every player rolls 5 standard dice in a dice cup, and then they start bidding on the number of X's (1s, 5s, etc.) in all the hands. High bid wins, but if you lie, you can be called out. If you call someone a liar and you're right, they're out. If you're wrong, you're out. I'd say it keeps going either until only one person is in and that person wins the pot.
Another dice game you might want to try is a popular renaissance dice game that I know as Ship, Captain, Bosun. It works like this:
You get 5 dice to roll, and you want, in order, a ship (a 6), a captain (5), and a bosun (4). Once you have each, you take the die out of circulation. When you have all 3, you start counting up the results of the OTHER dice. You get 4 turns. If you qualify on your first turn (roll a 6, a 5, and a 4), you now have the results of the other 2 dice on that turn, and 3 more times, for a maximum score of 48. These results represent your "crew." Highest crew count wins. If you don't qualify, you lose. If nobody qualifies, the pot "rolls over."
It's hypnotic. And a lot of fun. As a game of chance, characters can take turns throwing and bid after each throw - kinda like stud poker. It is perfectly common to not qualify until your third turn. Scores over 20 are good and over 30 are incredible. Over 40, I've only rolled once, and I've played it a LOT.