Joy Division - "Love Will Tear Us Apart" (my favorite is "Shadowplay", but this was their biggest hit)
The Beatles - "Her Majesty" - Greatest Paul tune ever!!!
The Ruts - "Staring At The Rude Boys" (roll the ganja!)
Otis Redding - "Dock of a Bay" (his final single and biggest hit released right after his death)
Sam Cooke - "A Change is Gonna Come" (ditto above! I'm noticing a disturbing trend - untimely early death in an artist's prime)
NY Dolls - "Human Being" (reunion albums 20,30, even 40 years after the original band split up don't count as genuine parts of the discography. Especially when only 2 of the original members are still alive! So the last song on their 2nd album is the last official song by the REAL New York Dolls.)
The Move - "Do Ya"
This list is way more difficult than my first one. (Speaking of which, I overlooked the Raspberries' "Go All the Way".)