I stayed clear of Brain of the UK for a bit as I'd heard a lot of complaints and went for this one and I'm so glad I did. You can now nikname your character (many real names there too) and Buzz will call you by your name. The whole set and studio has received an overhaul and everything has more comic humour and attention to detail.
The rounds have been expanded on. Single player is still limited but multiplayer is absolutely fantastic. The new rounds such as boiling point (first to 6 correct answers) really add to the show and old favourites like pass the bomb and pie throw are still there. Infact, multiplayer is now a 5 round show which ends in the Final Countdown and so each time you play, you'll get a selection of the rounds available and not all of them. Also you can play 8 player mode too.
Finally the trophies are completely different this time round and all the quiz packs downloaded for the first Buzz work with this one too so its all great stuff.
Highly recommended, the best Buzz game to date.