The previous thread has a list of recommended moves. I should make one here to help newcomers. Tell me if I miss some moves. Note that this is list of recommended moves, meaning you can use moves outside of this list if they prove to be more useful than here.
List of Recommended moves:
1. High Powered Priority moves: Extremespeed, Sucker Punch, Water Shuriken
2. High powered physical moves: V-Create, Sacred Fire, Crabhammer, Precipice Blades, Earthquake, Close Combat, Head Smash, Diamond Storm, Dragon Ascent, Bolt Strike, Fusion Bolt, Shadow Force, Wood Hammer, Icicle Crash, Knock Off, Gunk Shot, Megahorn, Heavy Slam, Gyro Ball
3. High powered Special moves: Boomburst, Eruption, Blue Flare, Fusion Flare, Water Spout, Origin Pulse, Scald, Draco Meteor, Spacial Rend, Psycho Boost, Psystrike, Seed Flare, Focus blast, Aura Sphere, Secret Sword, Doom Desire, Hurricane, Power Gem, Ice Beam, Thunderbolt, Dark Pulse, Night Daze, Shadow Ball, Judgment
4. Draining Moves: Oblivion Wing, Drain Punch, Giga Drain, Draining Kiss, Leech Seed
5. Multi-hitting moves: Tail Slap, Gear Grind, Bullet Seed, Pin Missile, Rock Blast, Dual Chop, Icicle Spear, Beat Up
6. Low accuracy moves that might be useful with No Guard: Zap Cannon, Dynamic Punch, Inferno, Focus Blast, Hurricane, Blizzard
7. Set up moves: Shell Smash, Belly Drum, Swords Dance, Shift Gear, Geomancy, Quiver Dance, Tail Glow, Cosmic Power, Cotton Guard, Coil
8. Recovery and Healing moves: Roost, Recover, Softboiled, Slack Off, Milk Drink, Moonlight, Synthesis, Morning sun, Heal Bell, Wish, Lunar Dance, Refresh
9. Status inducing moves: Spore, Dark Void, Nuzzle, Glare, Toxic, Will-o-wisp
10. Switching moves: Volt Switch, U-turn, Parting Shot, Baton Pass
11. Trapping moves: Infestation, Whirlpool, Fire Spin, Magma Storm
12. Hazards: Stealth Rock, Sticky Web, Spikes, Toxic Spikes
13. Protect variants: King's Shield, Spiky Shield
14. Phazing moves: Dragon Tail, Roar, Whirlwind, Circle Throw
15. Set up counters: Topsy Turvy, Haze, Clear Smog, Heart Swap
16. Others (they have their own uses): Perish Song, Taunt, Trick, Psycho Shift, Transform, Metal Burst, Destiny Bond, Trick Room, Endeavor, Fake Out, Rapid Spin, Pursuit, Electrify, Skill Swap, Defog, Tailwind, Explosion, Psych Up
This should cover all needed moves, from attacks and set up to gimmicks like Electrify and Beat Up. Note that I didn't list some moves because there are better versions of them (like Blue Flare and Fire Blast). I still list both moves if there are power vs accuracy comparison (like EQ and Precipice Blades).
Edit: Forgot Steam Eruption isn't released yet. Changed it to Origin Pulse and added Scald.