I have 3 girls. These are some of the games I would recommend:
1. All of the "Sims" games - My Sims Kingdom, Sim Animals, etc.
2. All the "Petz" games - Petz Cats, Petz Dogz, Petz Dolphins, etc.
3. She is probably just getting to the age of being into Pokemon, so any of the pokemon based games would be fun for her over the next few years.
4. If she is into "Littlest Pet Shop", as many girls that age are, they just recently released several games based on these toys.
5. Most of the "Imagine" games might also be fun for her, but maybe as she turns 6 and 7. But, check out Imagine Ice Skater, Imagine Chef, Imagine Teacher, etc.
This is a good place to start a young girl. As she get older, she will most surely get into the more serious games. But for now, these games will be right on her level. Hope this helps.