Sam has been in charge of coming up with team names for her first and second graders who play soccer and softball after school. Team spirit is a part of what makes sports so fun. Good team spirit starts with a great team name. Photo by Siva Prasaath on Unsplash. If you're stuck on coming up with a name for your sports league or group, then look no further. This comprehensive list has the best team name ideas—from funny names to cool and clever ones.