I use:Baby Ape
with Smash, Roar and Bananas. Time your attacks so that Bananas kills the grasshopper thing, leaving two turns of the debuff on her dragonling. Her second pet comes out and kills Baby Ape with Lightning Storm. Kun-Lai Runt
with Takedown, Frost Shock, Deep Freeze. Frost Shock, THEN get a Takedown in, THEN Frost Shock may well kill it (or take it very low). Usually you'd do Shock, Freeze, Takedown something that won't swap out. See what works for you with the damage, either way you won't have much of an issue unless you miss.Amber Moth
with Alpha Strike, Cocoon, Moth Dust. If her dragonling is stunned, she'll swap to her otter. Use the turn to switch to your Moth. You should be faster so get a Moth Dust in, and Cocoon when it dives. Just beat it up, and you'll have enough HP on your two pets left to finish off her Dragonling when it swaps back in.
Probably far better combinations, but I stick to what I know despite newer pets being available