ClayFighter is a fighting game released for the Super NES in 1993, and later ported to Mega Drive/Genesis in 1994. It has been re-released on Nintendo's Virtual Console along with the two Earthworm Jim games and Boogerman, which are also by Interplay.
Most of the game features a circus theme focused more on humor than serious gameplay. It features claymation-style graphics that were created by photographing and digitizing actual clay models.
Source: Wikipedia, "Clay fighter", available under the CC-BY-SA License.