"You've Really Got a Hold on Me" was written by Smokey Robinson in 1962. Said to have been influenced by Sam Cooke's "Bring It on Home to Me," it was a million-seller for the Miracles. The most famous cover was by the Beatles, and there have been plenty of others (often under the slightly less grammatical title, "You Really Got a Hold on Me").
Audio only, alas:
Feel free to suggest other covers in the comments.
Thanks, Ellen:
One of my favorite versions of this song is U've Really Got a Hold on Me as performed on Sesame Street. I often watched Sesame Street with my children when they were young, and this number has stayed with me all these years.
Thanks, Ellen. Added.
A fantastic Motown Soul song and some great covers. The opening piano hook os classic.
I always like Percy Sledge's cover:
https://www.youtube.com/watch?v=vvKSOzEY4RA
and here's Rod Stewart's cover:
https://www.youtube.com/watch?v=4hBgmjCt4IE