[Here's a link to all of the combos. I will type them all out anyway though.][1]
[1]: http://www.serebii.net/omegarubyalphasapphire/contestcombos.shtml
First move-Agility, Autotomize, Rock Polish, Shell Smash. Second move-Baton pass, Electro ball.
First move-Amnesia, Calm Mind, Cotton Guard, Hone Claws, Nasty Plot. Second move- Baton pass, Stored power.
First move- Block, mean look, Spider web. Second move- Explosion, Memento, Self-Destruct.
First move- Block, mean look, Spider web. Second move- perish song.
First move- Celebrate, Covet, Happy Hour, Wish. Second move-Bestow, Fling, Present.
First move- Charge. Second move- Bolt Strike, Charge Beam, Discharge, Electro Ball, Fusion Bolt, Nuzzle, Parabolic Charge, Shock Wave, Spark, Thunder, Thunder Fang, Thunder Punch, Thunder Shock, Thunderbolt, Volt Switch, Volt Tackle
First move-Dark Void, Grass Whistle, Hypnosis, Lovely Kiss, Sing, Sleep Powder, Spore, Yawn. Second move- Dream eater, Hex, Nightmare, Wake-Up-Slap.
First move- Defence curl. Second move- Ice ball, rollout.
First move-Encore, Taunt, Torment. Second move- Counter, Destiny Bond, Grudge, King's Shield, Metal Burst, Mirror Coat, Spite
First move- Endure. Second move- Endeavor, Flail, Reversal, Pain Split
First move- Entrainment, Hold Hands, Play Nice. Second move- Circle Throw, Seismic Toss, Sky Drop, Smack Down, Storm Throw, Vital Throw, Wake-Up Slap.
First move- Focus energy! Second move-Aeroblast, Attack Order, Blaze Kick, Cross Poison, Drill Run, Karate Chop, Leaf Blade, Night Slash, Poison Tail, Psycho Cut, Shadow Claw, Spacial Rend, Stone Edge.
First move- Force Palm, Glare, Nuzzle, Stun Spore, Thunder Wave, Zap Cannon. Second move- Hex, Smelling salts.
First move- Hail Second move- Blizzard, Glaciate, Icicile Crash, Icy Wind, Powder Snow, Weather Ball.
First move- Inferno, Will-O-Wisp. Second move- Hex.
First move-Lock-On, Mind Reader, Miracle Eye Second move- Fissure, Guillotine, Horn Drill, Sheer Cold.
First move- Parabolic charge Second move- Electrify.
First move-Poison Gas, Poison Powder, Toxic, Toxic Spikes. Second move- Hex, Venom Drench, Venoshock!
First move- Rain dance! Second move- Hurricane, Soak, Thunder, Water Sport, Weather Ball!
First move- Reflect type! Second move- Synchronoise.
First move- Rest Second move- Snore, Sleep talk.
First move- Rototiller! Second move- Bullet Seed, Leech Seed, Seed Bomb, Worry Seed!
First move- Sandstorm Second move- Sand Attack, Sand Tomb, Weather Ball.
First move- Shift gear Second move- Gear grind.
First move- Soft-Boiled! Second move- Egg bomb.
First move- Spikes, Stealth Rock, Toxic Spikes. Second move- Circle Throw, Dragon Tail, Roar, Whirlwind.
First move- Stockpile Second move- Spit Up, Swallow.
First move- String Shot Second move- Electroweb, Spider Web, Sticky Web.
First move- Sunny day~ Second move- Growth, Moonlight, Morning Sun, Solar Beam, Synthesis, Weather Ball!
Hope I helped~