Okay, an extra hint for #38: I bolded a certain word in the original hint. Hopefully that makes it clear enough.

Well, here's the new batch of hints then:

#37 - Though there's a classic video game mascot in the game's title, he's not a playable character this time and only appears in the game at all right at the end.
#36 - This game started off as a handheld remake of a classic title, but eventually was changed to become a sequel to the original game. (um, I guess)
#35 - It takes place in LA, and has awesome super long hallways for loading screens! (and I don't think anyone will guess it with just that, so I'm gonna say it's a sports game... but not based upon a traditional sport.)
#34 - The first game in this fighting franchise to feature the main character of the series.
#33 - The ending is mostly told through a series of black and white panels that don't cover the whole screen (there's white edges on all sides) while an emotional song plays in the background.

Edit: yeah. Spam over.

Well, here's the new batch of hints then:

#37 - Though there's a classic video game mascot in the game's title, he's not a playable character this time and only appears in the game at all right at the end.

Edit: yeah. Spam over.

You are correct.

Super Mario Bros 3

A Link to the Past.