The game features primarily Spider-Man and his allies, including Mary Jane Watson, Black Cat, and other characters from the Spider-Man universe. It's likely you're thinking of a different game or perhaps a misremembered detail.
If you could provide more information about what you're looking for, like:
* Specific details about the races: What kind of races? Are they in a specific location?
* Any other details about the gameplay: Did you see these races in a specific level, or did they appear in a menu?
I can try to help you pinpoint what you're looking for.