There are rotary internal combustion engines, such as the Wankel engine. It has a triangular "rotor-piston" spinning in a circular cylinder and goes through four "strokes" per revolution.
Mazda is a manufacturer that utilizes rotary engines in production cars today, particularly in their high performance models.
Ok, I didn't know the RX-8 was discontinued. They do, however, still build the rotary engines for use in racing applications, such as the Star Mazda racing series in the US.
I didn't mean to be picky, I just had some vague memory of an article talking about how no production car was going to have a Wankel anymore and after I checked decided it reasonable to post the clarification.
You mean, like a turbine?