Let’s go alphabetically. Shudder or cringe as you will.
- Ants.
- Cockroaches.
- Deer, where I live. Doesn’t mean we don’t enjoy viewing them, but we know how much they devour. Even the flowers.
- Fruit flies.
- Houseflies. Even more than mosquitoes.
- Maggots.
- Mice.
- Rats.
- Spiders.
- Squirrels. And chipmunks. They may be cute, but when they get in the walls, watch out.
What are we overlooking?
Jnana's Red Barn 
I think at one time or another I’ve had to deal with all of those except deer.
I think termites could be on the list. And what about racoons and skunks?
You have company on the skunks nomination. I can see that racoons can be a problem, one we’ve somehow been spared tilled now.
I agree, deer are beautiful animals to watch. Except when they are eating your trees. Around here we consider them to be cloven-hoofed rodents.
Skunks would be on my list, also. We gave had a couple of experiences with them burrowing under our mobile home.
Deer eat only your trees?