It really does depend on you as a person nowadays, the psychometric testing etc, they figure out the kind of person you are.
I got a BEng in Mech. Engineering from Warwick, but I got a 2.2, what DID help and I was told this in some of my interviews (got to final stages of BP, IBM, and RBS but then was up against MSc oxbridge chaps) that it was good that I had a job throughout uni, and did extra activities like marketing exec for a society and graphics editor for a magazine etc. Not forgetting examples through teamwork etc and a bit of blagging (social skills!)
10 months ago I got a job at the company I wanted to work for since I was 14 and why I got into engineering, luckily however, my taste heavily changed to finance, and that's where I sit, finance, >£30k, uni was worth it for me.
For all you science and engineering guys, as long as you show you're not a couped up boffin you can get a grad job pretty much anywhere in most sectors and the better the uni you went to the less your grades count (unless its fail then GET OUT!)