Here is the Melee tier list (Characters are in the exact order of the tier):

1. Top Tier: Fox, Marth, Sheik, Falco
   
2. High Tier: Peach, Captain Falcon, Jigglypuff, Ice Climbers
   
3. Middle Tier: Samus, Dr. Mario, Ganondorf, Luigi, Donkey Kong, Mario
   
4. Low Tier: Link, Pikachu, Young Link, Roy, Zelda, Mr. Game & Watch
   
5. Bottom Tier: Ness, Yoshi, Bowser, Mewtwo, Kirby, Pichu