My kids are 9, 8 and 4.
They like board games: Trouble, Life, Monopoly, Hullabaloo, Operation, etc. especially if a grown up plays, too. Prepare to referee arguments.
Crafts: making stuff out of clay because we can bake it and make magnets. My oldest likes to make little animals and accessories for them. Anything messy their parents wouldn't normally have time for, like fingerpaints, paper mache, paper crafts involving glue, etc
Cooking with me: making bread or brownies or cupcakes
Card games: War, Go Fish, Gin, Solitaire and Poker
My 4yo is a girl, too and she's very girly. She likes dress up and Barbie and things like that. She loves being included in the same things the big kids do, but it doesn't hold her attention very long and she goes off and does her own thing. She plays very independantly.
Of course mine also love tv, watching movies, Wii, and NintendoDS.
If it's a school night, my kids don't have a lot of free time between homework, chores, taking a bath and their bedtime routine.
Hope that helps! Have fun!