Brooklands Museum in Surrey is a brilliant place to visit and is of course is the birthplace of British motorsport and aviation http://www.brooklandsmuseum.com/
They have a wonderful collection of vintage motorcycles, racing cars, aircraft and lots more besides. They also have a Concorde ready and waiting for you to look inside.
Throughout the year Brooklands host a series of events including running some of their engines and sometimes they take out some of the motorcycles and cars out for a spin.