The following article may be of use to you: "Which MBA Will Open The Door to McKinsey, BCG and Bain?"
This will give you a good idea of which MBAs produce the strongest stream of successful applicants into MBB firms.
In terms of undergraduate degrees (rather than MBAs), Oxford and Cambridge are the runaway leaders in terms of schools that MBB will consider. The net is slightly wider than that and you will see some successful applicants from places like LSE, Bristol, Durham and Exeter. But this is really the exception rather than the norm.
Having said that, there are plenty of other consulting firms (the majority of the industry) who net is cast far wider than this, so don't abandon any ambitions of getting into consulting. I hope this helps and good luck.
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