According to Cooking Light:

On New Year’s Day in Holland, the Dutch eat oliebollen, a donut-shaped fritter. The ring shape symbolizes “coming full circle” and is believed to bring good luck.

A quick googling lead me to Olliebollen.com, which produces “cool things for kids.” If by “cool” they mean “expensive,” they’re right on. If I had a spare Benjamin, though, I would definitely buy this. It’s no donut-shaped fritter, but it would look awfully cute on my girl.
Typical Dutch Stuff and the Carnegie Mellon University Dinner Co-op site both had recipes for olliebollen. I might give one a try on Sunday.