Well, then, not (strictly speaking) pets:
cows
goats
a chick
a bat
caterpillars
grasshoppers
a chameleon
garter snakes
tadpoles
a turtle
a few lizards and salamanders
a horseshoe crab
a jellyfish
an injured sparrow
lab mice, rats, guinea pigs, and hamsters
a few children’s zoo animals, such as a deer and a pony
a lizard named Muriel
a donkey named Josephine
a dead frog
and probably more; I seldom pass up special opportunities like that
I skipped the potato bug, though.
The boa constrictor was somebody’s pet, and the giant iguana was part of a nature talk, so they weren’t in the wild, but most people didn’t want to handle them. I had the boa wrapped around my arm.
I also routinely escort spiders outside, and sometimes moths too, with my bare hands when necessary.