No aliens and no meta-humans, please. 
My pick would be Modesty Blaise and Willie Garvin.
Archie Goodwin and Nero Wolfe.
Alan Quatermain and Ayesha (Okay she is immortal, but not a meta human)
Indiana Jones and Marion Ravenwood.
Felix Unger and Oscar Madison.
I shudder to think.
I can’t see Wolfe moving enough to win…but I can see him figuring out how to win without ever leaving the brownstone.
Captain Kirk and Spock.
Edit: Sorry, I guess Spock is an alien.
George and Martha, from Who’s Afraid of Virginia Woolf.
The Great Leslie and Maggie duBois.
Doug & Carrie from King of Queens
David and Maddie from “Moonlighting”.
John McClane and Bill Clay from Die Hard.
Nick and Nora Charles.
And Asta.
I would find Basil and Sybil Fawlty extremely funny on that.
Archer and Lana
Phileas Fogg and Jean Passepartout The entire thing would be them commenting on the modern world. “Women and Africans walking around like people!?!”
Think Ron Burgundy on steroids. It would be ridiculous but maybe cathartic. We romanticize the past too much I feel and not everyone has the time to be a historian to fix that.
Patsy and Edina.
Jack Walsh and Jonathan “The Duke” Mardukas.
Thelma and Louise
(Oh, they’ll get there.)
Felonious Gru and Lucy Wilde from Despicable Me.
Thomson and Thompson from the Tintin stories