Acupressure:
Randomly boost one of your Stats
Belly Drum:
Raises Attack to +6 stages at the cost of half of your HP.
Bulk Up:
Raises the User's Attack and Defense by 1 stage.
Calm Mind:
Raises the User's Sp. Attack and Sp. Defense by 1 stage.
Coil:
Raises the User's Attack, Defense, and Accuracy Stats by 1 stage.
Curse:
Raises the User's Attack and Defense Stats by 1stage, while lowering the Speed Stat by 1 stage.
Dragon Dance:
Raises the User's Attack and Speed by 1 stage.
Extreme Evoboost (Z-Move):
Increases all stats excuding accuracy and evasion by 2 stages.
Geomancy:
Increases Special Attack, Special Defence and Speed by two stages after one turn of charging.
Growth:
Raises the User's Attack and Sp. Attack by 1 stage. Under Sunlight, raises the User's Attack and Sp. Attack by 2 stages.
Hone Claws
Raises the User's Attack and Accuracy by 1 stage.
Howl:
Raises the User's Attack by 1 stage.
Meditate:
Raises the User's Attack by 1 stage.
Nasty Plot:
Raises the User's Sp. Attack by 2 stages.
Quiver Dance:
Raises the User's Sp. Attack, Sp. Defense, and Speed by 1 stage.
Sharpen:
Raises the User's Attack by 1 stage.
Shell Smash:
Raises the User's Attack, Sp. Attack, and Speed by 2 stages, while lowering the User's Defense and Sp. Defense by 1 stage.
Shift Gear:
Raises the User's Attack by 1 stage, and raises the User's Speed by 2 stages.
Swords Dance:
Raises the User's Attack by 2 stages.
Tail Glow:
Raises the User's Sp. Attack by 3 stages.
Work Up:
Raises the User's Attack and Sp. Attack by 1 stage.
If you want to include moves that will only raise the stat in conjunction with a damaging move, Bulbapedia has the following lists:
Those are all of them, hope I helped.