Just to bring things up to date the Sea King(XV663) that was on show at the Nat Maritime Museum Falmouth and then stored at Gosport as JG found is now on show along with a line up of other FAA SAR airframes in Hall 1 at the Fleet Air Arm Museum, its been a great favourite as it was with the public at Falmouth.
Its currently on loan from the MOD so what it's long term future is I could not say.