By leveling up:
* Water-type: Aqua Tail, Bubble, Brine, Dive, Hydro Pump, Ice Beam, Muddy Water, Rain Dance, Scald, Surf, Water Gun, Water Pulse
* Normal-type: Body Slam, Double-Edge, Facade, Quick Attack, Rest, Return, Swift, Tackle
* Ice-type: Blizzard, Ice Shard
* Dragon-type: Draco Meteor, Outrage
* Grass-type: Energy Ball, Petal Dance
* Electric-type: Thunderbolt
* Fighting-type: Close Combat
* Ghost-type: Shadow Ball
* Dark-type: Crunch
* Fairy-type: Dazzling Gleam, Moonblast
* Status: Amnesia, Attract, Calm Mind, Covet, Destiny Bond, Detect, Dragon Tail, Encore, Hypnosis, Ice Fang, Light Screen, Protect, Reflect, Roar, Scary Face, Sing, Slack Off, Spikes, Substitute, Sweet Scent, Toxic, Will-O-Wisp, Yawn
By TM:
* Water-type: Aqua Ring, Muddy Water, Rain Dance, Scald, Surf
* Normal-type: Double-Edge, Facade, Quick Attack, Rest, Return, Swift, Tackle, Work Up
* Ice-type: Blizzard, Ice Shard
* Dragon-type: Draco Meteor, Outrage
* Grass-type: Energy Ball, Solar Beam, Synthesis
* Electric-type: Thunder, Thunderbolt, Thunder Wave
* Fighting-type: Close Combat, Drain Punch, High Jump Kick, Low Kick, Brick Break
* Ghost-type: Shadow Ball, Shadow Claw
* Dark-type: Crunch, Nasty Plot, Night Slash, Sucker Punch
* Fairy-type: Dazzling Gleam, Moonblast
* Rock-type: Ancient Power, Rock Slide, Stone Edge
* Ground-type: Earthquake, Mud-Slap
* Steel-type: Flash Cannon
* Psychic-type: Future Sight, Psychic, Psycho Cut, Psybeam
* Fire-type: Flamethrower, Heat Wave, Overheat
* Poison-type: Sludge Bomb, Toxic
* Flying-type: Aerial Ace, Brave Bird, Hurricane, Peck
* Bug-type: Bug Buzz, U-turn
* Status: Amnesia, Attract, Calm Mind, Confide, Counter, Covet, Destiny Bond, Detect, Dragon Tail, Encore, Flash Cannon, Focus Blast, Frustration, Gravity, Heal Bell, Helping Hand, Hidden Power, Hypnosis, Ice Fang, Light Screen, Protect, Reflect, Roar, Scary Face, Secret Power, Shadow Claw, Sing, Slack Off, Spikes, Substitute, Swift, Sweet Scent, Toxic, Will-O-Wisp, Yawn
By breeding:
* Water-type: Aqua Tail, Bubble, Dive, Hydro Pump, Ice Beam, Muddy Water, Rain Dance, Scald, Surf, Water Gun, Water Pulse
* Normal-type: Body Slam, Double-Edge, Facade, Quick Attack, Rest, Return, Swift, Tackle
* Ice-type: Blizzard, Ice Shard
* Dragon-type: Draco Meteor, Outrage
* Grass-type: Energy Ball, Petal Dance
* Electric-type: Thunderbolt
* Fighting-type: Close Combat
* Ghost-type: Shadow Ball
* Dark-type: Crunch
* Fairy-type: Dazzling Gleam, Moonblast
* Status: Amnesia, Attract, Calm Mind, Covet, Destiny Bond, Detect, Dragon Tail, Encore, Hypnosis, Ice Fang, Light Screen, Protect, Reflect, Roar, Scary Face, Sing, Slack Off, Spikes, Substitute, Sweet Scent, Toxic, Will-O-Wisp, Yawn
By tutor:
* Water-type: Aqua Ring, Muddy Water, Scald, Surf
* Normal-type: Facade, Quick Attack, Return, Swift, Tackle
* Ice-type: Ice Shard
* Dragon-type: Draco Meteor
* Grass-type: Energy Ball
* Electric-type: Thunderbolt
* Fighting-type: Close Combat
* Ghost-type: Shadow Ball
* Dark-type: Crunch
* Fairy-type: Dazzling Gleam, Moonblast
* Rock-type: Ancient Power, Rock Slide, Stone Edge
* Ground-type: Earthquake, Mud-Slap
* Steel-type: Flash Cannon
* Psychic-type: Future Sight, Psychic, Psycho Cut, Psybeam
* Fire-type: Flamethrower, Heat Wave, Overheat
* Poison-type: Sludge Bomb, Toxic
* Flying-type: Aerial Ace, Brave Bird, Hurricane, Peck
* Bug-type: Bug Buzz, U-turn
* Status: Amnesia, Attract, Calm Mind, Confide, Counter, Covet, Destiny Bond, Detect, Dragon Tail, Encore, Focus Blast, Frustration, Gravity, Heal Bell, Helping Hand, Hidden Power, Hypnosis, Ice Fang, Light Screen, Protect, Reflect, Roar, Scary Face, Secret Power, Shadow Claw, Sing, Slack Off, Spikes, Substitute, Swift, Sweet Scent, Toxic, Will-O-Wisp, Yawn
Please note that this list is not exhaustive. Some moves may be available through special events or other means. You can find more detailed information on the official Pokémon website or on websites like Serebii.net.