The 256 extra levels glitch. I think how you do this one is you have to take out Super Mario Bros. in the middle of a playing session, put in Tennis, play a match, take it out, put Super Mario Bros. back in, and then I think you can play the 256 extra levels. These weren't even intended, so they're really glitchy. Also, I think the reason why it's specifically 256 levels is because of byte sizes and things. My other favorites are the Minus world glitch (Especially the Japanese version), fire mario, and the double jump.
Some more of my favorites:
Minus world
Jumping in between a flagpole or vine
Small fire Mario
What's your favorite glitch?