Fizzie Sparkwhistle

Family Battler teams

Humanoid - Any early Darkness related misses, I recommend restarting the fight
Slot 1, Squirky(2,2,2)
Slot 2, Ore Eater(1,1,1)
Slot 3, Curious Oracle Hatchling(2,2,1) - Wasn't needed
-Bubble then Fish Slap until Azerite Slime dies. Continue to Fish Slap as long as you can on Azerite Geode, judge for yourself if it's worth going for the kill, or using a round of Stampede off before Squirky dies for the double damage. Mine managed to make it through the first 2 pets, and used Bubble again to soak Azerite Elemental's first move. Ore Eater finished the fight easily with Acid Touch, Shell Armor, Body Slam and Acid touch. Pet 3 for backup.

Dragonkin - Based on varying luck with Rock Barrage hits and my Whelplings being low health, this tactic didn't work 100% of the time. Be mindful to use your big hitting moves for when you have Dragonkin racial active.
Slot 1, Twilight Clutch Sister(2,1,2) - Must be faster than Azerite Slime
Slot 2, Nexus Whelpling(1,2,2)
Slot 3, Nexus Whelpling(1,2,2)
-Phase Shift, Twilight fire, Twilight Meteorite, swap to Nexus Whelpling.
-Arcane Storm, Tail Sweep, Mana Surge. Continue Mana Surging with your second Nexus Whelpling.
-When your second Nexus Whelpling dies, Azerite Elemental should be low enough to finish it off with a Phase Shift, Twilight Fire, Twilight Meteorite combo.

Flying
Slot 1, Mechanical Axebeak(1,1,1)
Slot 2, Axebeak Hatchling(2,1,2)
Slot 3, Ikky(1,1,1)
-Decoy, Hawk Eye, Alpha Strike until Mech Axebeak dies.
-Bring in Axebeak Hatchling, Peck until you're <1100hp, then Rain Dance, Nocturnal Strike. Carry on using Peck until Axebeak Hatchling dies, hopefully Geode died, or was low enough for Ikky to finish off with 1 Savage Talon.
-Ikky uses Black Claw and Flock to take down Azerite Elemental in 3 turns.

Undead - Any Darkness related misses I generally restarted the fight.
Slot 1, Spectral Spinner(1,2,2) - Mine had 273 speed, matching with the first pet, so I restarted if I didn't go first in Round1.
Slot 2, Blightbreath(1,1,1)
Slot 3, Rattlejaw(2,2,2)
-Blinding Poison, Spectral Strike, 3x Bone Bite to kill Azerite Slime. Repeat on Azerite Geode, Spectral Spinner dies.
-Bring in Blightbreath, Acid Rain, Dreadful breath. Hopefully Blightbreath is still alive to use another Acid rain and soak Azerite Elementals Quicksand and Azerite Bolt.
-Bring in Rattlejaw when Blightbreath dies, use Great Cleave on cooldown, Consume Corpse if you near 50%, and Skull Toss as filler.

Critter
As other comments say, a selection of Snails (1,1,1) can handle this fight.

Magic - Any big abilities miss due to Darkness, restart.
Slot 1, Syd the Squid(2,1,1)
Slot 2, Legs(2,1,2)
Slot 3, Creeping Tentacle(1,x,x)
-Bubble, Whirlpool, Tidal Wave x3, Whirlpool, Syd dies.
-Enter Legs. Pump, Whirlpool, Pump x3, and if he's still alive, Surge of Power.
-Creeping Tentacle comes in to finish up with Tentacle Slap spam.

Elemental
Slot 1, Pandaran Water Spirit(1,2,1)
Slot 2, Ruby Droplet(1,1,1)
Slot 3, Jademist Dancer(1,2,2) - Wasn't needed.
-Whirlpool, Dive, Water Jet (Slime dies) Whirlpool, Water Jet x2, my Pandaren Water Spirit usually dies here, bring in Ruby Droplet
-Dive to kill Geode, in comes Azerite Elemental. Plagued Blood, Acid Touch x3. My Ruby Droplet survived on around 100hp here, and was able to use a Dive to finish the fight. Jademist Dancer for backup

Beast
Slot 1, Moon Moon(1,2,1)
Slot 2, Xu-Fu, Cub of Xuen(1,1,2)
Slot 3, Flat-Tooth Calf(2,1,1) - Alts: Mudback Calf/Albino River Calf/Periwinkle Calf/River Calf
-Crouch, Moon Tears, Moon Fang spam until Moon Moon dies and bring in Xu-Fu. If Azerite Slime is still alive, hit it with a Spirit Claws to finish it, if it was already dead, skip to next.
-Prowl, Spirit Claws, Feed (Azerite Geode should die here). Spam Spirit Claws until Xu-Fu dies.
-Clobber, Takedown, Water Jet

Mechanical - Sketchy tactic that requires some luck, I won't deny it...
Slot 1, Mechanical Pandaren Dragonling(1,2,2)
Slot 2, Iron Starlette(1,1,1)
Slot 3, Lifelike Toad(1,x,1)
-Decoy, Thunderbolt, Breath x5, Thunderbolt, Breath until dead.
-Wind-up, Supercharge, Wind-up - my P/S breed hit for 1134(weak) - Powerball until dead.
-Bring in Lifelike Toad, Frog Kiss (mine didn't procc the polymorph as I'd hoped), Water Jet to victory!

1) Squirky (Fish Slap/Stampede/Bubble)
2) Rapana Whelk (or similar snail-critter, speed doesn't matter, with Absorb/Shell Shield/Dive)
3) Leveling pet with about 800+ health (will take four or five hits of Pound from the third enemy)

Squirky versus Azerite Slime (Squirky has 292 speed & Slime has 273)
- Squirky casts Bubble, Slime will cast Darkness (blocked)
- Stampede, Slime will cast Azerite Spike (blocked)
- Slime will continue using it's filler attack. Once stampede is finished use Fish Slap, which should kill Slime.

Squirky versus Azerite Geode (260 speed)
- Stampede then Fishslap. You may die before you can get the Fish Slap off, my Squirky did it on double digit HP then died with ~670hp left on the Geode

After Squirky dies, replace with leveling pet & then immediately bring in Rapana Whelk (or similar snail)

The rest is just a priority system for Rapana Whelk
1) Cast Dive when available (purely for damage)
2) Cast Shell Shield if you don't have it up
3) Fill with Absorb the rest of the time

The first dive is likely to kill the enemy Geode.

Rapana Whelk versus Azerite Elemental - it's only 260 speed but will debuff you with a 50% slow. Speed doesn't matter, all its attacks are weak versus critters & Rapana Whelk can just grind it into the ground.

Even with the RNG inherent in a enemy using Darkness, it should be a pretty straightforward win.

I didn't have much luck with any of the strats that were listed here (as of this posting), so I just winged it. Turned out to be pretty simple.

Dancing Water Skimmer (1/2/2)
Eternal Strider (1/2/2)
Sea Pony (1/2/2)

Honestly any Aquatic pet with Water Jet and Pump should do fine.

All three pets have the same abilities, so just keep repeating this combo until your active pet dies then swap to the next and continue:

Pump
Water Jet
Pump