Buckaroo Banzai is ridiculous. He has too many jobs, too many friends, and way too much in common with other fictional characters in his genre, but the film walked a line between sincerity and self-parody that found its way into the hearts of millions on home video after the movie failed to find a theatrical audience.
Whether all these figures are anti-heroes, or in some cases something else entirely, is an interesting question. As is the question of why anti-heroes are so important in quality television. Short form answer is that they match the times. It's a mostly cynical and sour era, with little faith in institutions or, generally speaking, leaders.