Best rock cover songs, list your favorites

Commenting about Creedence (One of my all time favorites) my wife actually thinks Creedence did a cover of Proud Mary that Ike and Tina Turner recorded.
I must admit both versions are very good.

It's a good cover too.

Steppenwolf's cover of Hoyt Axton's "The Pusher"
Alicia Key's cover of Keith Richard's "Wild Horses"
Adele's cover of Boris William's (The Cure) "Lovesong"

Cassandra Wilson doing Neil Young's Harvest Moon. It makes me shiver when I hear it. I'm not kidding when I say that I'm totally awestruck every time I hear it. Actually, I think that Cassandra Wilson is the best cover artist of all time. She recreates the songs in a way that makes them hers. She is truly amazing. If you're not familiar with her, buy Blue Light Til Dawn and New Moon Daughter. It will be some of the best money you've ever spent on music.

The Hendrix "All along the Watchtower" is probably the most prominent example of a cover being more recognized than the original. To me, Odetta's cover of Dylan's "Times they are a Changin" belongs in that category.

I like a lot of other covers more than the originals, such as Marianne Faithfull's version of "Ballad of Lucy Jordan" (Dr. Hook), and both Roy Orbison's and Nazareth's cover of "Love Hurts" (Everly Brothers).

For sort of novelty covers, I like Shonen Knife's cover of "Top of the World" (Carpenters) and Nouvelle Vague's cover of "Guns of Brixton" (Clash).