I don't normally follow that path of inspiration, but recently I did it with a jam (LD30), and it was fun.
We made the game based on the main character (a girl whom I draw for fun, in several "cosplays" of retro-games characters). The games follows the adventures of the main character going trough different worlds, where she get the clothes and some of the powers of the original characters. Just a fun idea, for a quick game. But we all fall in love with the character.
Here she's in Contra like style:
I normally create the world, or the concept of the story and them develop the character along the lines of the world-building I'm doing. But the other way around if fun too!