A couple (npi) that popped into my head:

Robbie Williams & Nicole Kidman - Something Stupid (Original by Frank and Nancy Sinatra)
Nick Cave & Kylie Minogue - Where The Wild Roses Grow
The White Stripes - It's True That We Love One Another
July Talk - Paper Girl
Baasically everything from July Talk. I'd recommend watching this video to get an idea of their chemistry: https://www.youtube.com/watch?v=3ctjulrl6v8&ab_channel=Indie88