I haven't expierienced a single bug and I can guarantee that I have more play time on Skyrim than all of you.
it seems to be a hit and miss thing. Some people have very smooth games, some people have very glitchy horrible games.
Me personally at release, I had to turn off auto saves or else ironically they would crash my game and make me start over. And without that I had many many crashes.
Here's a bug that just about everyone should have, be a vampire and put on the thieves guild or guild master hood. Rather than wearing a hood, you get a bald spot.
Theres also the nightingale hoods changing from their greyish color to white.
Some people have broken quests to start with. Some people accidentally find items while exploring, making the quest associated to the item found impossible to complete if on a console. So, broken quests.
My main issue was the constant crashing until 1.7
And 1.7 actually made things worse for some people. It was hit and miss, again. I don't know why.