or Lou Reed fans out there?
Avoiding jazz and classical - as 5 is painfully too short a choice for even one genre -
Adding to the choices above I'd have to include
Velvet Underground and Nico (the Banana album).
Revolver (Beatles of course).
Blue or Hissing of Summer Lawns by Joni M.
I'm Your Man by Laughing Leonard Cohen.
And the first Rickie Lee Jones album (if anyone remembers her).
If I were to pick an album from 21st Century it would be the eponymous 'The Libertines'.