Combat Rock (1982)
This is The Clash's most commercially successful record, and it is great to listen to, if you don't mind disco here and there, with an incredible A side with songs like "Rock the Casbah," "Straight to Hell," which MIA samples heavily on "Paper Planes," and "Should I Stay or Should I Go?"
London Calling (1979)
Easily one of the greatest records, this is punk's White Album, though The Clash and most all of punk rock would detest the metaphor. The title track is one of many excellent tracks; "Spanish Bombs," "Clampdown," "Guns of Brixton," "Revolution Rock," and "Train in Vain" are all of the same caliber. This release features the demo tapes--dubbed "The Vanilla Tapes"--and a DVD documentary.