G-BOAF at Filton has been taken into a hangar for some remedial work. As far as I understnd, she will not re-open to visitors at Filton. A new, permanent site for her is allegedly being sought where she will re-open.
The Concorde at Heathrow might go to the South Bank (it's one of many rumours). But that one has no interior (it went to Brooklands for G-BBDG) so won't be open to the public.
Others are open to to the public - none more so than ours at Manchester where you even get to sit in the P1 seat on tours!
Manchester Airport : Concorde & Nimrod Tours
We've got a Nimrod MR2 as well, and a Trident 3b, Avro RJX, and the front end of a DC10 - 30.