There are too many fascinating and likable animals to count. Here are just some examples:
I appreciate ladybugs, because they eat other insects that are bad for my cherry tree.
Bumble bees are welcome in the garden and also a range of other insects like dragonflies and crane flies.
I am thankful for the job that earthworms do.
While I catch most small critters that get into the house and bring them outside, I let a few vibrating spiders live inside our home. They are relaxed, their vibrating behavior is curious and I count on them to deal with prey that I wouldn't want to thrive inside, e.g. the occasional fruit fly and possibly even some bigger spiders.
I enjoy the visits of a range of birds to my garden. I like pigeons in particular although they are not the birds that my garden benefits most from. Bats are welcome, although I can't really see much of them (they come when it's dark and they are quick).
Hedgehogs are cute occasional guests.
A pawful of fish live in my garden, too.
I enjoy the sight of animals in the countryside, wild ones but also cattle and horses.
I have a "pet" leech. I don't pet it though.