With a five year old, you can try playing Carcassonne without farmers, or pick up Catan Junior. Cockroach Poker is a fun and simple bluffing game -- and kids love bluffing. Other card games, like Coloretto, may also work. Takenoko is more complex, but it's colorful, and comes with a lovely panda.
Excellent! Thanks for that list! I have Carcassonne and have been thinking about seeing if she'd be into it. You're right, take farmers out, I'm not even good a farmer strategy myself :p