Here's a shout for the Midland Air Museum at Coventry airport
Midland Air Museum | About the Museum
Incorporates the Sir Frank Whittle Jet Heritage Centre.
There is also a collection, and aviation paraphernalia at Wellesbourne, not to mention the static Vulcan there (I say static, but I believe it taxis every now and then, also v good café). Museum only open Sundays I think.