Odd time signatures are not as scarce as some think. The Mission Impossible theme is 5/4 for example.
There's any number of pop songs in 6/8, which isn't odd, but definitely not in the 4/4 groove. One of my beefs with a lot of the midi arp generators out there, especially on the Yamaha Motif XS, is how few of the 6,000+ arps it comes with are outside the 4/4 or 3/4 box. Yes, you can create your own, but that is a bit time consuming to say the least.
Here's a list of several songs in unusual time sigs.