Suggested by Destroyer Lara Croft was certainly one of the most popular video game heroines back in the day. While her games have slowed down, she is still very popular and has a new film coming out soon. Norman Bates would stand no chance against her in close quarters combat and she is also more proficient with a gun. Bates is just completely outranked in this battle and he won’t be able to keep up with her. Lara Croft wins.