Here is a few to get you started:

Card games of chance –

• War (3+ years of age) – see the instructions here 
• Slapjack (4 years and up) – see instructions here 

Board games of chance –

• Candyland (3 years and up)
• Chutes and Ladders (Snakes and Ladders) (3 years and up)

Games that change how you think about words –

• Apples to Apples (9 years and up)
• Madlibs (5 years and up)
• Use Your Thinkball (8 years and up)
• Guesstures (8 years and up)