Purely personal opinions, but here is a selection of singers and bands together with their signature song or instrumental piece. I don't necessarily like all of my choices but feel they are significant.
Gary Numan/Tubeway Army - Are Friends Electric ?
The Jam - Strange Town
The Four Tops - The Same Old Song
The Who - My Generation
The Walker Brothers - The Sun Ain't Gonna Shine Any More
Nirvana - Smells Like Teen Spirit
Roxy Music - Love Is The Drug
The Beatles - Hey Jude
Pink Floyd - Wish You Were Here
Oasis - Roll With It
The Rolling Stones - (I Can't Get No) Satisfaction
Neil Diamond - I Am...I Said
I could go on but I won't. Anyone else ?