The Clash recorded "Police On My Back" for Sandinista! in 1980, but The Equals (fronted by Eddie Grant) did it on 1967. Here's the Richard-Lester-meets-the-Keystone-Kops video.
Here's The Clash's cover:
Both are great. I like the Clash's version better.
The Clash also covered Toots & The Maytals "Pressure Drop."
Both are great. I like Toots & The Maytals' version better.