Pokemon names in italics means that the Pokemon in question is not confirmed to reach that form yet, but I strongly believe/hope that it will. Staraptor is unitalicized because of the preview for next week's episode.
Ash:
Pikachu: Magnet Rise, Feint
Torterra: Earthquake, Seed Bomb, Curse, Frenzy Plant
Infernape: Mach Punch, Close Combat, Flare Blitz, Blast Burn
Staraptor: Close Combat, Steel Wing, Twister, Overheat
Floatzel: Ice Beam, Razor Wind, Aqua Tail
Gliscor: Earthquake, Earth Power, Aqua Tail
Bulbasaur: Seed Bomb, Energy Ball
Charizard: Blast Burn, Iron Tail, Dig
Wartortle: Surf, Bite, Protect, Aqua Tail
Kingler: X-Scissor, Giga Impact, Swords Dance
Muk: Sludge, Thunder
Tauros: Return, Giga Impact
Bayleef: Solarbeam
Quilava: Fire Blast
Croconaw: Hydro Pump
Noctowl: Sky Attack
Donphan: Earth Power
Sceptile: Frenzy Plant
Torkoal: Sludge Bomb, Toxic
Crawdaunt: Dark Pulse, Crunch
Glalie: Crunch, Sheer Cold
Primeape: Cross Chop, Overheat
Dawn:
Empoleon: Hydro Cannon, Drill Peck, Metal Claw, Steel Wing, Double Hit
Lopunny: Healing Wish, Return, Attract, Double Hit
Ambipom: Attract, Payback
Pachirisu: Thunderbolt, Magnet Rise
Mamoswine: Earthquake, Earth Power, Double Hit
Brock:
Chansey: Egg Bomb, Softboiled, Thunderbolt, Ice Beam
Toxicroak: Sludge Bomb, Focus Blast, Dark Pulse, Toxic
Sudowoodo: Stone Edge, Rock Slide, Rock Throw
Graveler: Stone Edge
Steelix: Iron Head, Hyper Beam
Crobat: Cross Poison, X-Scissor
Forretress: Zap Cannon, Toxic Spikes, Stealth Rock
Swampert: Earthquake, Hydro Cannon, Roar
Ludicolo: Surf, Energy Ball, Uproar
May:
Blaziken: Blast Burn
Beautifly: Poison Sting
Delcatty: Solarbeam
Venusaur: Frenzy Plant
Blastoise: Hydro Cannon
Snorlax: Giga Impact
Glaceon: Mirror Coat
Misty:
Staryu: BubbleBeam, Thunderbolt
Starmie: Thunder
Seaking: Waterfall
Gyarados: Earthquake, Aqua Tail
Luvdisc: Rain Dance, Swagger
Politoed: Perish Song
Corsola: Stealth Rock
Togekiss: Aura Sphere
Azumarill: Bubblebeam, Rollout, Iron Tail
Kingdra: Dragon Dance, Outrage
Tracey:
Azumarill: Rollout, Hydro Pump
Venomoth: Signal Beam, Gust
Scizor: X-Scissor, Bullet Punch
Jessie:
Yanmega: Signal Beam, Air Slash
Seviper: Poison Fang, Flamethrower, Earthquake
Wobbuffet: Encore, Splash
Arbok: Hyper Beam, Poison Tail
James:
Carnivine: Power Whip, Sleep Powder
Mr. Mime: Psychic, DoubleSlap
Chimecho: Psychic, Icy Wind
Arcanine: Flare Blitz, Extremespeed
Weezing: Hyper Beam, Sludge Bomb