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 - GD's Melee with Rollback Netplay 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:
GD's Melee: native PC port of Melee with rollback netplay, m-ex mods, Lua, the Geno fighter engine and LAB. Releases, launcher, tooling and fighter-port research. No game data.