Just to give people some more options, here is what I use for the pandaria tamers.
Hyuna of the Shrines: Nether Faerie Dragon (any breed works as long as its rare quality, Sprite Darter Hatchling works too) with Arcane Blast, Evanescence, Moonfire. Then any pet that has an avoidance move with 4 rounds or lower cooldown.
Start with the faerie dragon, Evanesence, Moonfire, Arcane Blast, Arcane Blast (Hyuna's first pet dies). Arcane Blast, Evanescence, Arcane Blast, Arcane Blast (Hyuna's second pet dies), Arcane Blast (faerie dragon dies unless the turtles headbutt missed), bring in your boost pet and do whatever attack with it, switch in to any pet with avoidance move with four or lower rounds cd, then use the avoidance move always when the turtles headbutt comes off cd, rest of the time just use whatever damage abilities your pet has to kill the turtle.
Aki the Chosen: Anubisath Idol with Crush, Stoneskin, Deflection. Then any pet with strong flying attacks.
Idol can usually solo this, but can sometimes die if rng hates you, so having a pet that can kill the otter easily as back-up is recommended. Start with your boost pet, and do whatever attack with it, then switch to idol, stoneskin, then do enough Crushes to get the cricket low enough to die from next one, then refresh stoneskin and kill the cricket, you want to kill it with 4 turns of stoneskin left, take your time there as it does no damage to your idol while you have stoneskin up. Then against the dragon, deflection, then spam crush until the dragon dies. Against the otter, stoneskin, deflection, then crush until the otter uses survival, then stoneskin, deflection, and crush until its dead.
Farmer Nishi: Jademist Dancer with Steam Vent, Rain Dance, Acid Rain. Then any pet that can kill the worm easily, pets with strong mechanical attacks are ideal.
Start with your boost pet, do any random attack, switch to Jademist Dancer, Acid Rain, Rain Dance, Steam Vent, Steam Vent, the flower is usually dead at this point, but if it isn't one more Steam Vent should finish it off. Against turnip, Steam Vent, Acid Rain, Rain Dance, Steam Vent. Turnip is dead now if the first steam vent hit, but if it missed just use one more steam vent to finish it off. Against the worm, Steam Vent, Acid Rain, Rain Dance (Jademist Dancer dies unless the worms burrow missed, if it did miss, then just finish off the worm with 2 steam vents), switch to your back up pet and finish off the worm.
Mo'ruk: Warbot with Missile, Minefield, Extra Plating. Then any pet that can kill the turtle easily, flying pets are ideal.
Start with boost pet, do whatever attack, then switch to warbot, minefield, missile, missile, missile (Mo'ruk's first pet dies), against the moth, missile, missile (if moth dust sleeps your warbot you might have to start over), warbot usually dies with the moth almost dead, though the rng with the moth dust can change the fight, if moth dust misses completely warbot will kill the moth too, if it sleeps it you are in trouble. The most common outcome is though that it hits and doesn't sleep, which means warbot dies with the moth at very low hp, then bring in your flying pet, finish off the moth, then just zerg the turtle down as quickly as possible. If your flying pet has an avoidance move use it at first turn against the turtle as it likes to open with headbutt.
Wastewalker Shu: Chi-Chi with Alpha Strike, Tranquility, Ethereal. Jademist Dancer with Steam Vent, Rain Dance, Acid Rain.
Start with boost pet, do whatever attack, then switch to Chi-Chi, Tranquility, Ethereal, Alpha Strike, Alpha Strike, Alpha Strike, Ethereal, Tranquility, Alpha Strike, Shu's first pet should be dead, then against the elemental, Alpha Strike, Ethereal, switch to jademist dancer, Acid Rain, Rain Dance, Steam Vent, Steam Vent, Shu's second pet dies, then against the porcupine, just do as much damage with jademist dancer as you can on it, use rain dance on cd, rest of the time spam steam vent, don't use acid rain anymore, sometimes dancer can finish off the porcupine, but usually it dies at the end in which case just bring Chi-Chi in to finish it off with alpha strike or two.
Seeker Zusshi: Jademist Dancer with Steam Vent, Rain Dance, Acid Rain. Chi-Chi with Alpha Strike, Tranquility, Ethereal.
Start with jademist dancer, Acid rain, rain dance, steam vent, steam vent, Zusshi's first pet is usually dead at this point, but if you got unlucky and neither steam vent critted, you need to do one more to finish it off. Then against the snail, Steam Vent, Acid Rain, Rain Dance (Jademist Dancer dies unless the snails dive missed, if it did miss just finish off the snail with steam vents and move to the part about the last pet), bring in Chi-Chi, Tranquility, then spam Alpha Strike until the snail is dead. Against Skimmer, switch in your boost pet, do whatever attack with it, switch to Chi-Chi, Ethereal to dodge the pump, then spam Alpha Strike until Skimmer is dead.
Courageous Yon: Chi-Chi with Alpha Strike, Tranquility, Ethereal.
Chi-Chi can easily solo this guy, start with your boost pet, do whatever attack, switch to Chi-Chi, Ethereal to dodge the lift-off, then simply keep tranquility up, use ethereal to dodge the lift-offs, and rest of the time spam alpha strike until Yon's first pet dies. Against the bunny, Alpha Strike, Tranquility, Ethereal, then after that just keep tranquility up, use ethereal to dodge the burrows, and rest of the time spam alpha strike until the bunny is dead. Against the goat, keep tranquility up, use ethereal to dodge the chews, and rest of the time spam alpha strike until the goat is dead.