If you're referring to musical gigs and not part-time work gigs, then NextGig.co doesnt sound bad.
The downside of that name is that you will definitely lose a percentage of traffic to the NextGig.com website. However, if NextGig.com has excellent optimization for search engines, you can actually benefit from it.
At the end of the day, it's entirely your call but I would brainstorm for some more names first. Off the top of my head, here are a few that you can maybe play around with: GigFinder, TheUltimateGig, iGig, GigME, myGig, NearestGig.