I think their session keyboardist, Tommy Eyre, who they used on a couple of albums was fantastic. It's something about the atmosphere he created with his sounds...it's just otherworldly. Apparently, this guy also played on Gerry Rafferty's "Baker Street" and "Right Down the Line" while also doing session work for Joe Cocker, BB King, Tracy Chapman, and WHAM.
Here's one of the band's later songs, with lyrics that only a middle-aged man can truly understand.