By leveling up:
* Normal: Tackle, Growl, Harden, Withdraw, Body Slam, Protect, Scary Face, Defense Curl, Rollout, Slam, Swift, Iron Head, Gyro Ball
* Steel: Iron Defense, Flash Cannon
* Rock: Rock Throw, Rock Tomb, Ancient Power
* Bug: Pin Missile, Bug Buzz, X-Scissor
* Ground: Dig
* Electric: Thunder Wave
* Ghost: Shadow Claw
* Flying: Aerial Ace
By TM:
* Normal: Return, Frustration, Facade, Secret Power, Double-Edge
* Fighting: Low Kick, Brick Break
* Flying: Aerial Ace, Fly
* Poison: Toxic, Sludge Bomb
* Ground: Earthquake, Mud-Slap
* Rock: Rock Slide, Stone Edge
* Bug: U-turn, Bug Buzz
* Ghost: Shadow Ball
* Dragon: Outrage
* Dark: Crunch
* Steel: Flash Cannon, Iron Head
* Ice: Ice Shard, Ice Beam
* Electric: Thunderbolt, Thunder
* Fire: Flamethrower, Fire Blast
* Water: Hydro Pump
* Grass: Solar Beam
* Psychic: Psychic, Psybeam
* Fighting: Focus Blast
* Dragon: Draco Meteor
By breeding:
* Normal: Defense Curl
* Rock: Rock Blast
* Bug: Pin Missile
* Steel: Iron Defense
* Ground: Mud-Slap
By Move Tutor:
* Normal: Quick Attack, Facade, Double-Edge
* Fighting: Close Combat
* Flying: Aerial Ace
* Poison: Sludge Bomb
* Ground: Earthquake, Mud-Slap
* Rock: Rock Slide, Ancient Power
* Bug: Pin Missile, U-turn
* Ghost: Shadow Ball, Shadow Claw
* Dragon: Draco Meteor, Outrage
* Dark: Crunch
* Steel: Iron Head, Flash Cannon
* Ice: Ice Shard, Ice Beam
* Electric: Thunderbolt, Thunder
* Fire: Flamethrower, Fire Blast
* Water: Hydro Pump
* Grass: Solar Beam
* Psychic: Psychic, Psybeam
* Fighting: Focus Blast
* Dragon: Dragon Claw
Please note that the availability of certain TMs and Move Tutors can vary depending on the specific version of Pokemon Gold you have.