By Leveling Up:
* Drill Peck: A powerful Flying-type physical attack.
* Fury Attack: A powerful Normal-type physical attack.
* Air Slash: A Flying-type special attack that can cause flinching.
* Aerial Ace: A Flying-type physical attack that ignores the opponent's accuracy stat.
* Quick Attack: A fast Normal-type physical attack.
* Double-Edge: A powerful Normal-type physical attack that deals heavy recoil damage.
By TM/TR:
* Fly: A powerful Flying-type physical attack that allows the user to fly away from battle.
* Brave Bird: A very powerful Flying-type physical attack that deals heavy recoil damage.
* Heat Wave: A powerful Fire-type special attack.
* Hurricane: A powerful Flying-type special attack that has a chance to confuse the opponent.
* Sky Attack: A powerful Flying-type physical attack that has a chance to cause flinching.
* Drill Run: A powerful Ground-type physical attack.
* Return: A powerful Normal-type physical attack whose power depends on the user's affection for the Trainer.
* Frustration: A powerful Normal-type physical attack whose power depends on the user's dislike for the Trainer.
* Facade: A powerful Normal-type physical attack that is more powerful if the user is poisoned, burned, or paralyzed.
* U-Turn: A fast Normal-type physical attack that allows the user to switch out after attacking.
* Roost: A Flying-type move that allows the user to recover some HP and gain the Flying type.
* Tailwind: A Flying-type move that boosts the Speed of all allies on the field.
By Breeding:
* Defog: A Flying-type move that removes hazards from the battlefield.
* Feather Dance: A Flying-type move that lowers the opponent's Attack stat.
* Peck: A basic Flying-type physical attack.
* Gust: A basic Flying-type special attack.
By Move Tutor:
* Aerial Ace: A Flying-type physical attack that ignores the opponent's accuracy stat.
* Drill Peck: A powerful Flying-type physical attack.
* Air Slash: A Flying-type special attack that can cause flinching.
* Sky Attack: A powerful Flying-type physical attack that has a chance to cause flinching.
* Quick Attack: A fast Normal-type physical attack.
* Brave Bird: A very powerful Flying-type physical attack that deals heavy recoil damage.
* Roost: A Flying-type move that allows the user to recover some HP and gain the Flying type.
This is not an exhaustive list, as Fearow can learn other moves depending on the generation of the game you are playing. It's always best to consult the game's Pokedex or online resources for the most accurate information.