How about Jeff Bridges and Karen Allen, only half serious.
For the sake of equal opportunities - and ‘heroin chic’ - we could also have Marianne Faithfull and Mick Jagger.
Annie Lennox and Dave Stewart
In the spirit of "not necessarily rock ‘n’ roll:
Pavarotti and Norman.
Dick & Mimi Farina. She was Joan Baez’s younger sister. He was one of the coolest people that ever lived, and tragically died young.
Dick’s best friend was Thomas Pynchon. How does anything get cooler than that???
Chrissie Hynde & Ray Davies
Patti & Fred “Sonic” Smith
Geoff & Maria Muldaur
Strange that you mention “aren’t good at rock and roll” as criteria and then mention Paul Simon and Edie Brickell, neither of which I’d consider remotely rock and roll.
Finally! Some one else who appreciates this video. All serious.
Since still being together doesn’t seem to be a requirement, I’ll add:
Zooey Deschanel and Ben Gibbard.
Also: Evan Dando & Juliana Hatfield.
What?!?!? Say this isn’t so!
Edit: Augh, no way. This is exactly how I feel.
This! Most the names on this list are separated or divorced, and not liking each other that much.
Rosanne Cash and Rodney Crowell
Carlene Carter and Nick Lowe
Great duo. Also, Les Paul and Mary Ford: some of the sweetest music ever made.
Robert and Clara Schumann.
Cool in their day, perhaps?
.
Not mentioned yet:
T-Bone Burnett and Sam Phillips (now divorced)
Fleming & John
[del]Marty Culp and Bobbi Mohan-Culp[/del]