I've found a few glitches, none of them broke my game luckily, but one of them could stop a quest.

In the early side quest where you go to the bleck fall barrow to get the claw back from the bandits, the pillars you are supposed to turn were stuck showing the eagle (bird). I reloaded a couple of my saves, didn't fix it. Tried leaving and re-entering the building and that fixed it.

The glitch that made me sad is when I went back to the mill town (can't remember the name) and went to the blacksmith. I bought some raw steel to improve my imperial swords, which I did. After I did that, the game treated the equiped swords as a separate item. I love to dual wield and used my favorites menu, but after I improved my swords I went my favorites menu and selected a sword on my left hand. Then I tried to put the other in my right hand but the game just moved my sword from my left.

It also makes only the equiped sword a favorite in the items menu. The only work around I found was to go into the items menu, equip the swords and then favorite them both. As long as you don't unequip both of them, you can go back to dual wielding them. I bought two swords of a different type later on, and the glitch didn't happen to them, so I'm glad. I think it only affects improved swords, or at least improved imperial swords.

I had a similar problem with turning the stones, but I had to mark the dragon claw quest as my active one before they would turn.