If they’re in my apartment, I capture them in a jar and drown them in the toilet.
Are they the same creature elsewhere referred to in this thread as “Invasive Japanese beetles?”
I generally try to follow my philosophy of “we are only trying to make a living”, but I do kill mosquitoes, flies and roaches on sight.
Ticks that are on me inside get fed to my Nepenthes.
Oh yes, squash bugs are awful things. I like to pluck them off the plant with long nosed pliars. And squash them with glee.
Spiders in my house generally get left alone, though I’ll relocate them if their presence bugs me. I never kill them. I escort other bugs outside. I haven’t seen a mosquito in my house since we moved here 9 years ago. Bees and wasps get escorted outside. No cockroaches where we live. I do often kill true bugs (those with sucking mouth parts) indoors and out, because they feed on the plants I am trying to grow. But in general I have a live and let live attitude towards my fellow creatures.
Some bugs must die no matter what, such as roaches, fleas, ticks, head lice, and bedbugs.
Ants and flies in the house are condemned to death, but outdoors is their house and I’ll leave them alone. Spiders are welcomed and allowed to stay provided they are not big enough for me to see the hair on their legs. Any other bugs are gently captured and moved outside.
Except centipedes. I will run away screaming from centipedes, and someone else must kill them. Preferably with fire.
Silverfish will eat your books and your clothes. I would come unglued if I saw those in my house.
Roaches, ants, flies, mosquitoes and other blood suckers die when i see them. Everything else is on a case by case basis, spiders usually die if they are bigger than a nickel and wasps usually i have to kill because they like to make homes in our patio furniture and get very defensive.
Even Jeffy from the Family Circus has pondered this question
Fleas I have no problem killing. I even feel a little bit of glee when I mash one between my nails. I prefer using products designed to keep them away but sometimes they get past it.
I don’t kill anything else. If I had roaches I might though.
One assumes you don’t live in a part of the country that has fire ants. 
Spiders anywhere near the bedroom must die; otherwise, they are allowed to build webs wherever they want in the house during summer since those webs catch the dreaded yellow flies that get through all our defenses. Roaches go with extreme prejudice. The only bugs that are presently getting a free pass are the FLBs* in the kitchen. We tried building them a corral on the wall and put up a sign about them staying inside it, but they disregarded it. They seem harmless and are in small numbers.
*Funny Little Bugs
Not squash usually - my dog loves bugs, and will point to them on the ceiling, so we knock the bugs down for her to gobble up.
The fire ants taste like lemon mixed with habanero peppers! 
Now, now, Rigamarole. This: No: never! Life is sacred even if it’s disgusting and crawling on my face is not the reason why I don’t squash bugs. The reason is because squashed bug goo is GROSS.
So, I will step on a bug or swat with a rolled up magazine or something outside, where the squshed mess doesn’t, er, bug me.
If they’re inside and alive I catch them and take them outside. Hopefull if they’re inside they’re good and dead. Borax works a treat.
We’ve got Renfield here.
Ha! Me too.
If it is in my house or on my person, it’s dead. I don’t care what kind of bug it is or what kinds of bugs it would eat if I permitted its continued life.
I squash them. Or I gas them and then squash them. I have no mercy. If it’s got 6 legs or more, it’s going to invertebrate hell courtesy of my shoe.
I went with “sometimes”. It depends what it is and where. Roaches get the hammer. Wasps inside will meet their maker unless I can easily open a window and waft them out; outside I don’t bother with them unless they are causing a problem. I ignore spiders - after all, they will sort out plenty of the other bugs for me.
Often, but not bees.
I’ve ignored really tiny bugs that I’ve seen.
I’ve swatted at flies but I’ve never gone after them. Just getting them to leave me alone is fine.
The bug I have extreme hatred for is the ant. When I see an ant I go on the warpath.
Large bugs will likely frighten me and I’ll ask someone else to destroy it. No, not relocate it. It dies. :3