Mooh's overstating his case, Charity! the Fake Book is fine, but it doesn't come close to the BBC session as a starting point. The tunes are there in standard notation, but you also hear them, recorded live, and played in sets with plenty of repeats. As a learning tool, this site couldn't have been better thought out.

For a huge, easily searchable collection of tunes, all with conventional notation and many with midis, try JC's Tunefinder.