By Leveling Up:
* Normal: Scratch, Growl, Tackle, Body Slam, Take Down, Double-Edge, Swift, Extreme Speed, Last Resort
* Fighting: Fury Swipes, Low Kick, Brick Break, Cross Chop, Drain Punch, Superpower, Close Combat
* Poison: Poison Sting, Sludge Bomb, Sludge Wave, Acid, Venoshock, Toxic
* Ground: Dig, Earthquake, Mud-Slap, Mud Bomb, Bulldoze
* Rock: Rock Throw, Rock Tomb, Stone Edge
* Steel: Iron Head
* Ice: Ice Shard, Ice Beam
* Dragon: Dragon Pulse, Outrage
* Ghost: Shadow Claw
* Dark: Crunch
* Fairy: Dazzling Gleam
* Status: Protect, Substitute, Toxic, Amnesia, Bulk Up, Thunder Wave, Will-O-Wisp, Detect, Spikes, Stealth Rock, Thunder Fang, Ice Fang, Fire Fang
By TM/TR:
* Normal: Quick Attack, Return, Frustration, Facade, Secret Power, Double Team, Reflect, Light Screen, Soft-Boiled, Substitute, Will-O-Wisp, Covet, Thief, Payback, U-turn, Helping Hand, Swagger, Sleep Talk, Round, Nature Power
* Fighting: Low Kick, Brick Break, Cross Chop, Drain Punch, Superpower, Close Combat, Focus Blast
* Poison: Poison Sting, Sludge Bomb, Sludge Wave, Acid, Venoshock, Toxic
* Ground: Dig, Earthquake, Mud-Slap, Mud Bomb, Bulldoze, Earth Power, Magnitude, Hidden Power, Rock Tomb
* Rock: Rock Throw, Rock Tomb, Stone Edge, Ancient Power, Rock Slide, Rock Blast
* Steel: Iron Head, Flash Cannon, Heavy Slam, Meteor Mash
* Ice: Ice Shard, Ice Beam, Blizzard, Freeze-Dry, Avalanche
* Dragon: Dragon Pulse, Outrage, Draco Meteor, Dragon Claw
* Ghost: Shadow Claw, Shadow Ball, Shadow Sneak, Phantom Force
* Dark: Crunch, Night Slash, Foul Play, Dark Pulse, Assurance
* Fairy: Dazzling Gleam, Moonblast, Fairy Wind
* Status: Protect, Substitute, Toxic, Amnesia, Bulk Up, Thunder Wave, Will-O-Wisp, Detect, Spikes, Stealth Rock, Thunder Fang, Ice Fang, Fire Fang, Roar, Whirlwind, Swords Dance, Calm Mind, Rest, Attract, Memento, Taunt, Confuse Ray, Trick Room, Safeguard, Pain Split, Last Resort, Heal Bell, Psych Up, Nasty Plot, Roost, Thunderbolt, Flamethrower, Discharge, Thunder, Ice Beam, Blizzard, Hidden Power, Sunny Day, Rain Dance, Sandstorm, Hail, Reflect Type, Gravity, Defog, Recycle, Nature Power, Follow Me, Copycat, Transform, Skill Swap, Imprison, Magic Coat, Roost, Shift Gear, Heal Pulse, Acupressure, Belly Drum, Power-Up Punch, Extreme Speed, Work Up, Charge Beam, Volt Switch, Electroweb, Drill Run, Quick Guard, Wide Guard, Synchronoise, Heat Crash, Power Gem, Signal Beam, Tri Attack, Energy Ball, Seed Bomb, Leaf Storm, Solar Beam, Leaf Blade, Razor Leaf, Seed Flare, Giga Drain, Grass Whistle, Bullet Seed, Spore, Stardust, Leech Seed, Growth, Weather Ball, Captivate, Synthesis, Petal Dance, Vine Whip, Wring Out, Peck, Drill Peck, Aerial Ace, Brave Bird, Sky Attack, Hurricane, Twister, Air Slash, Feather Dance, Heat Wave, Overheat, Fire Blast, Flame Charge, Flame Wheel, Inferno, Lava Plume, Ember, Incinerate, Scald, Mud Bomb, Mud Shot, Aqua Jet, Waterfall, Surf, Hydro Pump, Rain Dance, Crabhammer, Vice Grip, Pin Missile, X-Scissor, Bug Buzz, U-turn, Silver Wind, Muddy Water, Aqua Tail, Swift, Last Resort, Double-Edge, Extreme Speed, Superpower, Zen Headbutt, Drain Punch, Close Combat, Cross Chop, Low Kick, Brick Break, Focus Blast, Aura Sphere, Psycho Cut, Future Sight, Psybeam, Psychic, Stored Power, Extrasensory, Zen Headbutt, Psycho Shift, Amnesia, Guard Swap, Light Screen, Reflect, Calm Mind, Substitute, Trick Room, Will-O-Wisp, Thunder Wave, Confuse Ray, Protect, Detect, Quick Guard, Wide Guard, Spikes, Stealth Rock, Toxic, Roar, Whirlwind, Memento, Taunt, Swords Dance, Bulk Up, Nasty Plot, Substitute, Payback, U-turn, Helping Hand, Follow Me, Covet, Thief, Swagger, Sleep Talk, Round, Nature Power, Facade, Frustration, Return, Quick Attack
By Breeding:
* Normal: Growl, Tackle, Tail Whip, Defense Curl, Leer, Screech
* Fighting: Fury Swipes, Low Kick, Karate Chop
* Poison: Poison Sting, Smog
* Ground: Dig, Mud-Slap
* Rock: Rock Throw
* Status: Sing, Mimic, Rage, Transform
* Egg Moves: Rock Tomb, Earth Power, Ancient Power, Ice Shard, Ice Beam, Blizzard, Dragon Pulse, Outrage, Shadow Claw, Shadow Ball, Shadow Sneak, Crunch, Night Slash, Foul Play, Dark Pulse, Assurance, Dazzling Gleam, Moonblast, Fairy Wind
By Tutor:
* Normal: Quick Attack, Return, Frustration, Facade, Secret Power, Double Team, Reflect, Light Screen, Soft-Boiled, Substitute, Will-O-Wisp, Covet, Thief, Payback, U-turn, Helping Hand, Swagger, Sleep Talk, Round, Nature Power
* Fighting: Low Kick, Brick Break, Cross Chop, Drain Punch, Superpower, Close Combat, Focus Blast
* Poison: Poison Sting, Sludge Bomb, Sludge Wave, Acid, Venoshock, Toxic
* Ground: Dig, Earthquake, Mud-Slap, Mud Bomb, Bulldoze, Earth Power, Magnitude, Hidden Power, Rock Tomb
* Rock: Rock Throw, Rock Tomb, Stone Edge, Ancient Power, Rock Slide, Rock Blast
* Steel: Iron Head, Flash Cannon, Heavy Slam, Meteor Mash
* Ice: Ice Shard, Ice Beam, Blizzard, Freeze-Dry, Avalanche
* Dragon: Dragon Pulse, Outrage, Draco Meteor, Dragon Claw
* Ghost: Shadow Claw, Shadow Ball, Shadow Sneak, Phantom Force
* Dark: Crunch, Night Slash, Foul Play, Dark Pulse, Assurance
* Fairy: Dazzling Gleam, Moonblast, Fairy Wind
* Status: Protect, Substitute, Toxic, Amnesia, Bulk Up, Thunder Wave, Will-O-Wisp, Detect, Spikes, Stealth Rock, Thunder Fang, Ice Fang, Fire Fang, Roar, Whirlwind, Swords Dance, Calm Mind, Rest, Attract, Memento, Taunt, Confuse Ray, Trick Room, Safeguard, Pain Split, Last Resort, Heal Bell, Psych Up, Nasty Plot, Roost, Thunderbolt, Flamethrower, Discharge, Thunder, Ice Beam, Blizzard, Hidden Power, Sunny Day, Rain Dance, Sandstorm, Hail, Reflect Type, Gravity, Defog, Recycle, Nature Power, Follow Me, Copycat, Transform, Skill Swap, Imprison, Magic Coat, Roost, Shift Gear, Heal Pulse, Acupressure, Belly Drum, Power-Up Punch, Extreme Speed, Work Up, Charge Beam, Volt Switch, Electroweb, Drill Run, Quick Guard, Wide Guard, Synchronoise, Heat Crash, Power Gem, Signal Beam, Tri Attack, Energy Ball, Seed Bomb, Leaf Storm, Solar Beam, Leaf Blade, Razor Leaf, Seed Flare, Giga Drain, Grass Whistle, Bullet Seed, Spore, Stardust, Leech Seed, Growth, Weather Ball, Captivate, Synthesis, Petal Dance, Vine Whip, Wring Out, Peck, Drill Peck, Aerial Ace, Brave Bird, Sky Attack, Hurricane, Twister, Air Slash, Feather Dance, Heat Wave, Overheat, Fire Blast, Flame Charge, Flame Wheel, Inferno, Lava Plume, Ember, Incinerate, Scald, Mud Bomb, Mud Shot, Aqua Jet, Waterfall, Surf, Hydro Pump, Rain Dance, Crabhammer, Vice Grip, Pin Missile, X-Scissor, Bug Buzz, U-turn, Silver Wind, Muddy Water, Aqua Tail, Swift, Last Resort, Double-Edge, Extreme Speed, Superpower, Zen Headbutt, Drain Punch, Close Combat, Cross Chop, Low Kick, Brick Break, Focus Blast, Aura Sphere, Psycho Cut, Future Sight, Psybeam, Psychic, Stored Power, Extrasensory, Zen Headbutt, Psycho Shift, Amnesia, Guard Swap, Light Screen, Reflect, Calm Mind, Substitute, Trick Room, Will-O-Wisp, Thunder Wave, Confuse Ray, Protect, Detect, Quick Guard, Wide Guard, Spikes, Stealth Rock, Toxic, Roar, Whirlwind, Memento, Taunt, Swords Dance, Bulk Up, Nasty Plot, Substitute, Payback, U-turn, Helping Hand, Follow Me, Covet, Thief, Swagger, Sleep Talk, Round, Nature Power, Facade, Frustration, Return, Quick Attack
Note: This is not an exhaustive list, and some moves may be learned through other means, like special events. For the most up-to-date information, it is always best to consult a reliable Pokemon resource like Serebii.net or Bulbapedia.