Does anyone else's dog besides mine sleep totally under the covers all night? (That's what he wanted to do from the moment I adopted him)

My dog doesn't like covers on her. If I put covers on her, she will get up and go somewhere else to sleep.

Yep. Mine sleeps under the covers and shares my pillow. One good thing is that she always faces away from me, which is good, I don't have dog breath in my face.

I don't have a dog, but I have two cats. One will sleep with my son, if there's room on the bed (it's a twin bed and the kitty cat is "big-boned"). The other kitty sleeps with me on a towel next to my head. I guess she likes to talk to me during the night when she can't sleep. Or she will stand on me to get my attention. 

My first kitty did like to sleep under the covers. It was a scream to make the bed because she didn't like to get out from underneath the blankets. There was a lot of pouncing and a lot of vocal complaining on her part. It was like Groundhogs Day each day as she couldn't remember from day to day that I would make the bed and have to chase her out of it!

One of mine will if it is cold, but not usually. I also keep warm throws on the bed for them both to sleep on. I also know a couple of people with dachunds whose dogs do that.

I had 4 dogs (shi tzus) the oldest one would sleep under the covers, she'd crawl under the covers and go all the way to the foot of the bed. We lost 2 of them last year, and I have 2 left of them the older one sleeps with me and she takes a pillow for herself, and does not like the covers.