What Pokemon can use all HMS in the first generation?

Answer 1

With the exception of Mew, there is no one Pokemon, that can learn all of the HMs.

All of the Pokemon that can use HM 1, Cut in Generation I are: Bulbasaur, Ivysaur, Venusaur, Charmander, Charmeleon, Charizard, Beedrill, Sandshrew, Sandslash, Oddish, Gloom, Vileplume, Paras, Parasect, Bellsprout, Weepinbell, Victreebell, Tentacool, Tentacruel, Farfetch'd, Krabby, Kingler, Lickitung, Tangela, Scyther, Pinsir.

All of the Pokemon that can use HM 2, Fly in Generation I are: Charizard, Pidgey, Pidgeotto, Pidgeot, Spearow, Fearow, Farfetch'd, Doduo, Dodrio, Aerodactyl, Articuno, Zapdos, Moltres.

All of the Pokemon that can use HM 3, Surf in Generation I are: Squirtle, Wartortle, Blastoise, Nidoqueen, Nidoking, Psyduck, Golduck, Poliwag, Poliwhril, Poliwrath, Tentacool, Tentacruel, Slowpoke, Slowbro, Seel, Dewgong, Shelder, Cloyster, Krabby, Kingler, Lickitung, Rhydon, Kangaskhan, Horsea, Seadra, Goldeen, Seaking, Staryu, Starmie, Gyarados, Lapras, Vaporeon, Omanyte, Omastar, Kabuto, Kabutops, Snorlax, Dratini, Dragonair, Dragonite.

All of the Pokemon that can use HM 4, Strength in Generation I are: Charmander, Charmeleonl, Charizard, Squirtle, Wartortle, Blastoise, Ekans, Arbok, Sandshrew, Sandslash, Nidoqueen, Nidoking, Clefairy, Clefable, Jigglypuff, Wigglytuff, Psyduck, Golduck, Mankey, Primeape, Poliwhirl, Poliwrath, Machop, Machoke, Machamp, Geodude, Graveler, Golem, Slowpoke, Slowbro, Seel, Dewgong, Gengar, Onix, Krabby, Kingler, Exeggutor, Cubone, Marowak, Hitmonlee, Hitmonchan, Lickitung, Rhyhorn, Rhydon, Chansey, Kangaskhan, Electabuzz, Magmar, Tauros, Gyarados, Lapras, Snorlax, Dragonite, Mewtwo.

All of the Pokemon that can use HM 5, Flash in Generation I are: Pikachu, Raichu, Clefairy, Clefable, Jigglypuff, Wigglytuff, Abra, Kadabra, Alakazam, Slowpoke, Slowbro, Drowzee, Hypno, Voltorb, Electrode, Chansey, Staryu, Starmie, Mr. Mime, Electabuzz, Jolteon, Porygon, Zapdos, Mewtwo.