I’d like to add, for those who don’t think that a given character should possibly beat Bison, that we’ve been spoiled by Dragon Ball’s fights where the winner is usually the one with the higher power level/the bigger kame, or Ryu’s fights in SFA Animation and The Ties that Bind where he simply wins the fights by throwing one prefix-hadouken, but there are actually many ways a character can win without being stronger than the opponent. This is typical in fiction, to beat a superior villain just when it seems impossible.
For example, hmm… letsee how we could do it with Chun Li. Feel free to come up with a way for your character of choice.
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Bison’s plan is about to culminate and Chun Li appears just in time to stop it. They fight.
Bison gets the upper hand. He is faster and stronger, but Chun Li still manages to land her hits here and there. She can’t lose today while it’s up to her to stop Bison’s plans. Bison is winning, but not by an unsurmountable amount, so he will have to use a big move if he wants to beat her, since she is going all out.
After an exchange of hits at the climax of the fight he glides back and comes forward with his SFA3 ultimate Psycho Crusher. Chun Li does the only thing she can; she jumps forward and meets him with her Shichisei Senku Kyaku (the 1-hit “Raging Chun Li” air kick super from the Marvel series).
Typical anime clash. The Psycho Crusher is stronger and Bison pushes forward. Chun Li’s leg starts to bend at the knee. She clenches her teeth as the leg is forcefully retracted, but she manages to release it by surprise in a single, arched lightning kick that lashes at Bison’s hands from the side putting them out of alignment, and bam!, she snaps back to the Shichisei Senku Kyaku and crosses Bison from teeth to ass. Bison receives the full power of the super kick AND his own Psycho Crusher.
Both fall to the ground at opposite ends. Chun Li gets up limping while Bison is knocked down unconscious, but alive. Chun Li walks up to Bison, contacts Guile, who tells her what to do to stop Bison’s plans. She lets Bison be and does her stuff on the machinery or whatever. As she finishes, she turns around, Bison is getting up, they look at each other, he laughs if you will, and he teleports away.
Big explosion happens because reasons and Guile and Cammy arrive to rescue Chun Li. Maybe she’s alive because of something they did. Bonus points if Chun Li appears walking through the smoke in her underwear spandex unitard with her torn clothes on her hand or whatever badass scene you may think of. Needless to say, one boot got disintegrated in the final clash.
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And that’s it. There we’ve got Chun Li defeating Bison convincingly without implying that she’s stronger than him, just with bravery and a stroke of genius/skill/luck/ingenuity/whatever, and that was not even exploiting the environment. It’s not even hard to write, just a matter of willing to do it.
How could Guile beat Bison? I don’t know, maybe a similar tactic to the one that Ryu used in Masaomi Kanzaki’s manga, by doing a bait sonic boom and meeting Bison’s Psycho Crusher with an Ultra Flash Kick to the chin when he doesn’t expect it. How could Cammy do it? Maybe managing to grab him somehow or using her “Maximum Spider” move to strike sideways and veer the course of the attack to make him crash, then snapping his neck. How could Sagat do it? How could Juri? Nash? No problem. There are lots of ways.
Worst case scenario, you can always do it the brain-dead way, like Ryu did in the SFA Animation and The Ties that Bind. Power up, epic music, close up, single power move, opponent doesn’t dodge or block, and yep, victory.