Were there ever any rotory motorcycles? Seems like it'd be a pretty natural match up for a sports bike.

I've not heard of any.

That would be kinda neat, though...but the way that the engines are shaped, I don't know how feasable that would be.

Maybe a 1-rotor, mounted longitudinally or something...

Suzuki built a single-rotor cycle called the RE-5 in the mid-70's. Several other cycle manufacturers built rotary bikes around that time, including Norton.