We haven’t even discussed Bo Diddley’s Who Do You Love, another 1 chord song: Who Do You Love? (Bo Diddley song) - Wikipedia
The whole Bo Diddley beat type of drone song, like John Lee Hooker’s Boogie Chillen, are their own subcategory.
Dave Mason’s Feelin’ Alright, one of Joe Cocker’s most famous covers.
I also love the 5th Dimension’s cover of it: https://m.youtube.com/watch?v=6V0drJ2TybE
Great choice. Similar in feel to the song in the OP, I’ll Take You There.
First song I learned to play on guitar, c. 1970 or so.