Of course, Rolling Stone adds “of all time” to their title. That’s so we don’t get confused and start thinking they mean “greatest rock feuds of the Elizabethan Period.”
Most of the entries aren’t much of a surprise, and most of the entries are more clearly feuds than whatever differences might exist between the members of the Rolling Stones.
Simon and Garfunkel? Lawsuits. The brothers from Oasis? Fistfights. The brothers from The Kinks? Stomping on birthday cakes. And so on.