I'm not sure if I should make a new post about this or not. I didn't write down the moves either, but if you've been fighting for a while, you should be able to figure it out.
I one shot each of fights in the celestial tourney last night, and I'm not ashamed to say I looked at other posts.
Also, the below shouldn't be using any repeat pets or super rare ones.
(*note* my strat for goldbloom broke this rule, so I didn't list one.
Slot 1 - Wood Frog - Tongue lash, healing wave, swarm of flies
Slot 2 - Stunted Yeti - Thrash, Mangle, Rampage
Slot 3 - Crow - Alpha strike, call darkness, nocturnal strike
Frogs demolish undead, the yeti is a super counter to critters, and flying vs aquatic. Lorewalker Cho
Slot 1 - Jade Oozeling - Ooze Touch, Corrosion, Acid Goo
Slot 2 - Mechanical Pandaren Dragonling - Breath, Bombing Run, Decoy
Slot 3 - Scourges Whelpling - Tail Sweep, Call Darkness, Plagued Blood
The ooze counters the owl, the dragonling counters the broom and undead dragon counters the live one. Dr. Ion Goldbloom
I need to change this lineup, and I apologize. I'll update when I've fought him again. The strat uses the mechanical dragonling a second time and a dragon kite, which not a lot of peeps will have. Wrathion
Slot 1 - Perky Pug - Comeback, Perk up, Burrow
Slot 2 - Anubisath Idol - Crush, Sandstorm, Deflection
Slot 3 - Flayer Youngling - Blitz, Deflection, Kick
Pug counters the undead dragon, anubisath idol beat the other two, so I didn't even need the flayer. Taran Zhu
Slot 1 - Mr Grubbs - Consume, Acid Goo, Burrow
Slot 2 - Nether Ray Fry - Arcane Blast, Tail Sweep, Shadow Shock
Slot 3 - Pterrodax hatchling - Slicing Wind, Ancient Blessing, Lift-Off
The massive undead damage from the first two pets should be sufficient to get you through the fight, the third slot is more for backup. Chen Stormstout
Slot 1 - Darkmoon Zepplin - Missile, Bombing Run, Decoy
Slot 2 - Curious Wolvar Pup - Bite, Frenzy, Maul
Slot 3 - Snarly - Rip, Surge, Blood in the water
Decoy the first round (hope for no stun), bomb, then missile until dead. The wolvar should be able to easily destroy the cricket, and do some damage to the elemental, and then snarly for finishing the elemental. Yu'la
Slot 1 - Gregarious Grell - Punch, Phase Shift, Cauterize
Slot 2 & 3 - Whatever you feel like
As recommended on other posts, the Grell solo'd the dragon. Others have suggested that Peddlefeet works well too, with maybe a couple backup humans, or undead with human attacks. Zao
Slot 1 - Mechanical Dragonling or Darkmoon Zepplin (whichever was not used before) - Missile/breath, Bombing Run, Decoy
Slot 2 - Clockwork Gnome - Metal Fist, Repair, Build Turret
Slot 3 - Zandalari Kneebiter - Hunting Party, Black claw, bloodfang
Decoy in round 1 (to block the big charge), then bombing run, swap to gnome, build turret, swap to kneebiter, black claw, swap to gnome, turret and Zao dies. Chi-Chi
Slot 1 - Snail 1 - Ooze Touch, Acid Goo, Dive
Slot 2 - Snail 2 - ditto
Slot 3 - Snail 3 - ditto
Acid goo, then ooze touch. Dive the round he goes ethereal. You might get to the third snail, but it works. Xu-Fu
Slot 1 - Pandaren Water Spirit - Water Jet, Whirlpool, Geyser
Slot 2 - Chrominius - Bite, Howl, Surge of Power
Slot 3 - Something mechanical, just in case
Start with the spirit, do geyser, then whirlpool, then try a jet (you'll die). Bring in Chrominius for Howl and Surge of Power. If something goes wrong, then you've got a third pet just in case, but he died just from the first two for me.