I have created a giant list of all the useful moves of each letter. Moves are sorted by BP in descending order, and moves that are essentially worse versions than others within the same letter are not included (eg Blood Moon vs Boomburst). If I am missing any potentially useful moves, please tell me.
A: Axe Kick, Astral Barrage, Armor Cannon, Aeroblast, Attack Order, Aqua Step, Alluring Voice, Apple Acid, Aura Sphere, Aqua Jet, Accelerock, Acid Spray, Acid Armor, Amnesia
B: Boomburst, Bolt Strike, Blue Flare, Brave Bird, Blizzard, Behemoth Blade/Bash, Beak Blast, Bleakwind Storm, Bitter Blade, Body Press, Blazing Torque, Brick Break, Bitter Malice, Barb Barrage, Bullet Punch, Bullet Seed, Bone Rush, Bind, Beat Up, Bulk Up, Block, Burning Bulwark, Baneful Bunker
C: Counter, Comeuppance, Close Combat, Clanging Scales, Collision Course, Combat Torque, Crabhammer, Crunch, Circle Throw, Clear Smog, Chilling Water, Copycat, Coil, Cotton Guard, Calm Mind, Cosmic Power, Curse, Chilly Reception, Court Change, Corrosive Gas
D: Dragon Energy, Doom Desire, Draco Meteor, Double Shock, Dragon Ascent, Dynamax Cannon, Diamond Storm, Darkest Lariat, Drill Run, Drill Peck, Drum Beating, Dark Pulse, Discharge, Dazzling Gleam, Dragon Tail, Dragon Darts, Dual Wingbeat, Dragon Dance, Defend Order, Defog, Disable, Destiny Bond
E: Eruption, Electro Shot, Electro Drift, Earthquake, Earth Power, Esper Wing, Expanding Force, Eerie Spell, Endeavor, Encore
F: Final Gambit, Fleur Cannon, Flare Blitz, Focus Blast, Future Sight, Fire Blast, Fusion Bolt, Flying Press, Fusion Flare, Foul Play, First Impression, Fiery Wrath, False Surrender, Fire Lash, Fiery Dance, Fickle Beam, Flash Cannon, Flower Trick, Freeze-Dry, Flip Turn, Frost Breath, Fell Stinger, Flame Charge, Fire Spin, Focus Energy
G: Gigaton Hammer, Gyro Ball, Glaive Rush, Gunk Shot, Grav Apple, Grass Knot, Giga Drain, Growth
H: Head Smash, High Jump Kick, Headlong Rush, Heavy Slam, Heat Crash, Hydro Pump, Hurricane, Hard Press, Hammer Arm, Hyper Drill, Heat Wave, Hydro Steam, Horn Leech, Hone Claws, Heart Swap, Haze, Heal Bell, Healing Wish
I: Ice Hammer, Ivy Cudgel, Ice Beam, Icicle Crash, Ice Spinner, Iron Head, Infernal Parade, Ice Shard, Icicle Spear, Infestation, Iron Defense
J: Judgment, Jaw Lock, Jet Punch, Jungle Healing
K: Knock Off
L: Leaf Storm, Low Kick, Luster Purge, Leaf Blade, Liquidation, Leech Life, Lunge, Lava Plume, Leech Seed, Lunar Blessing
M: Mirror Coat, Metal Burst, Megahorn, Make It Rain, Meteor Beam, Mountain Gale, Malignant Chain, Magical Torque, Magma Storm, Moongeist Beam, Mighty Cleave, Mist Ball, Moonblast, Meteor Mash, Matcha Gotcha, Mystical Power, Mach Punch, Mortal Spin, Moonlight, Morning Sun, Milk Drink, Mean Look
N: Noxious Torque, Night Daze, Night Slash, Nuzzle, Night Shade, No Retreat, Nasty Plot
O: Overheat, Origin Pulse, Overdrive
P: Psycho Boost, Precipice Blades, Power Whip, Pyro Ball, Poltergeist, Photon Geyser, Psystrike, Petal Blizzard, Play Rough, Psychic Fangs, Poison Jab, Power Gem, Psychic Noise, Psyshield Bash, Parabolic Charge, Poison Fang, Pin Missile, Population Bomb, Power Trip, Parting Shot, Perish Song
Q: Quiver Dance
R: Revelation Dance, Razor Shell, Rock Slide, Rising Voltage, Rapid Spin, Rock Blast, Ruination, Roost, Recover, Roar
S: Solar Blade, Shadow Force, Superpower, Solar Beam, Seed Flare, Steam Eruption, Sacred Fire, Sunsteel Strike, Supercell Slam, Spacial Rend, Springtide Storm, Sandsear Storm, Sacred Sword, Sludge Wave/Bomb, Shell Side Arm, Strange Steam, Secret Sword, Seed Bomb, Shadow Ball, Scald, Snipe Shot, Spirit Shackle, Spirit Break, Stomping Tantrum, Sucker Punch, Scorching Sands, Stone Axe, Shadow Sneak, Sand Tomb, Scale Shot, Stored Power, Super Fang, Seismic Toss, Spikes, Spiky Shield, Sticky Web, Swords Dance, Strength Sap, Shore Up, Synthesis, Stun Spore, Switcheroo
T: Thunder, Thunderous Kick, Thunderbolt, Throat Chop, Thunder Cage, Torch Song, Thunder Punch, Temper Flare, Trop Kick, Thunderclap, Trailblaze, Tachyon Cutter, Twin Beam, Triple Axel, Toxic Spikes, Take Heart, Tidy Up, Topsy-Turvy, Taunt, Trick, Teleport, Toxic, Thunder Wave, Transform
U: U-turn, Upper Hand
V: V-create, Volt Tackle, Volt Switch, Vacuum Wave, Victory Dance
W: Water Spout, Wood Hammer, Wave Crash, Wildbolt Storm, Wild Charge, Waterfall, Wicked Blow, Weather Ball, Whirlpool, Water Shuriken, Wish, Whirlwind, Will-O-Wisp
X: X-Scissor
Y: nothing (Yawn is banned by Sleep Moves Clause)
Z: Zing Zap, Zen Headbutt