PC version Fans have made a PC version. Some are still early, so read the project page first.
Fans took Super Smash Bros. Melee Recompilation - Tag Fighter apart and rebuilt it so it runs natively on a computer, often with widescreen, higher frame rates and mods. Here is the project we know about:
A mod for the Native PC port (PC port by 999sian) of Super Smash Bros. Melee (NTSC-U 1.02) that turns Melee into a Tag Fighter, built from doldecomp/melee on aurora. No game data; bring your own disc.