Police detective Ryu Suzaku (named Rick Wheeler in America) suffers a fatal car accident while in pursuit of an escaped criminal named Zoda. Ryu nearly dies, but is revived in the year 2201 by Mobile Task Force members Jody Summer and Dr. Stewart. The Task Force tries to keep prize money out of the hands of unsavory people like the Dark Million Organization run by Black Shadow and Deathborn. That organization is responsible for cryogenically evolving Ryu's old enemy Zoda. Now Ryu joins the Task Force to help take down Zoda and the rest of Dark Million. While pursuing his objectives, Ryu will unexpectedly meet up with the legendary racer and bounty hunter named Captain Falcon.
-Via Wikipedia

All 51 episodes of the show were shown in Japan, but only 15 were translated and shown on Fox in America.

Captain Falcon is not the main character of the show and does not feature in every episode of the show (at least not as Captain Falcon.)