Closed. My room has to be totally dark with only a fan running, and I cannot sleep with a cat in the room. I love her to bits but she likes to sit up right near my face and get hair all over the sheets and I don’t want to deal with that. She starts yowling for breakfast in the morning but before that she leaves me alone.
My preference would be to sleep alone, in a dark, cold, silent room with the door closed. The cats, SO, and kids don’t let it happen.
I don’t, though I probably should because if I don’t, cockatiels come in and get in bed with me. It’s weird to wake up and find cockatiels all over me.
Or two answers, my own answer from earlier being the less popular one:
Studio apartment in a high rise in Chicago. Yes, I both close and lock my front door 
We sleep with the door closed, but with a small washcloth between the door and the door jamb to prevent it from closing completely. When the air conditioner comes on at night, it rattles all the doors, so it makes sense to have a little space between the door and jamb. I grew up sleeping with the door closed, though. My kids like to have it a little open, especially when they fall asleep, because they can hear us a little better and have some light in their rooms.
If we had an animal who demanded to be in the bedroom he would have to find another house to live in.
a closed door gives a precious few seconds to become more fully awakened to the zombie hordes, enabling you to mount a stronger defense.
Unless it’s the middle of winter and I’ve got the fire on, no interior door in my house is ever closed, never mind locked.
Kids are gone, so we sleep with it open. It lets the dog wander about the house if she gets restless.
Closed! because growing up my parents always made me sleep with the door open and I hated it and swore I would close my door when on my own.
I don’t care one way or the other, but my husband prefers it closed. Now I guess it’s a habit; when he goes on a business trip I usually close it.
I leave it cracked a couple of inches so I don’t get awoken by the feline I serve complaining when she deigns to make an inspection.
Two cats, door closed 90% of the time. Little fuckers wake me up - one by trying to play with moving limbs under the covers, the other by deciding he needs affection at 2 a.m. and must rub his purring, drooling face on my nose.
Otherwise I wouldn’t care either way. If I take a nap in the afternoon on an off day, I’ll usually leave it open because they are only interested in napping themselves and won’t harass me.
Closed - keeps the cats out and keeps the dog in.
Cracked open, to allow the cats access, but the light from the meandering man wandering about in the wee hours (he beds early, get up often, crashes on the couch again-I don’t) bothers me. I am considering installing a cat door in the bedroom door.
I’m a single guy, I live alone, my neighborhood is decent.
But I still always, always sleep with the bedroom door closed. If it’s open, I can’t really explain it - it just makes me feel vulnerable. And this even though I always keep all doors to the outside locked, and honestly if someone broke in the bedroom door would be no great obstacle.
I can definitely tell I get this quirk from my mother. I used to roll my eyes at her going through the house every night at 9-10p or so, checking all the doors and windows to make sure they were locked, sometimes twice. And we lived in a very safe and nice neighborhood. But now I find myself doing the same thing. Minor OCD, I think.
/I also routinely check the stove/oven like 2-3 times to make sure it’s off before sleeping if I have used it during the day. Same with the iron.
I prefer open, because I am slightly claustrophobic, and also because the pets will invariably want to be in if they’re out or out if they’re in.
Usually not. That way the cat can come and go. He likes to sleep with me part of the night and roam around plotting world domination part of it.
Open. Between animals wanting access at night, and kids coming in ("I had a bad dream’ or “My tummy hurts”) it makes more sense to just keep the door open.