I have been playing Elder Scrolls games since 2006 so I am a little bit late to it, but my first game was Morrowind and I had the GOTY of it. Then I moved up from a Xbox to a Xbox 360 and got Oblivion, but was still late. I played and beaten every DLC from Oblivion. Now I got Skyrim and made sure to get it on release, sure it's buggy but it is still great.
If you have a bug with Skyrim then please visit my topic on Bethesda's forums to report it.
I also mod on the Xbox 360 and have been able to fix a lot of the bugs I have come across in Skyrim using modding as well.
Skyrim Xbox 360 Bug Report Topic, on Bethesda's Forums
Dragon Age 2 Modding 360/PC, stickied on OFFICIAL Bioware Forums
Xboxmb.com, for all your Xbox 360 modding needs