I got my copy of Skyrim, and I've already run into two possible quest bugs. I'm posting these and what I did to solve the problem in the hopes that we as a community can verify the presence/absence of these bugs and find solutions.
1) I loaded up, got to Riverwood, and picked up the Golden Claw quest from the Trader. While completing the quest, I went ahead and went through the rest of Bleak Falls Barrow, got the Shout and the Dragonstone and then completed the Golden Claw quest by returning the claw to the trader. Then I spoke with Gerdur and went on with the main quest. I got to Whiterun and spoke with the Jarl, and he said he wanted me to talk to the court wizard. Here's where the deviation becomes important (I think).
I let the Jarl talk to Secret-Fire first, then I spoke with the wizard. He wants me to get the dragonstone. Okay, I have it, but every time I talk to him, he wants me to go get the dragonstone.
I tried save, exit, reload, no dice. I tried running back through the Barrow, no dice. So I loaded up an earlier save, and instead of letting the Jarl talk to the wizard first, I ran ahead of him and spoke with the wizard, got the quest, and lo and behold, the game recognized the presence of the Dragonstone in my inventory, so the quest was completed.
2) I later joined the Companions and got a quest from the Companion that showed me to the communal room. He wants me to go kill some bandits. I follow the quest marker to some towers and a bridge to the East of Whiterun, and the quest marker is pointing at the corpse of a bandit I killed earlier while wandering. Again with the save and reload, no dice. Again with the jack around with the corpse, run around and do some other things, but the quest giver keeps asking if I've killed that bandit leader yet. I haven't tried an earlier save because I killed the bandits before I got to Whiterun (I was exploring and they tried to hassle me).
Anybody else find any bugs?
-Loki