I've never seen a 5960/1A on strap in person, but from the pictures my favourite combo is a mate black alligator strap with black stitching. I might love it with white stitching as well.
But to be honest, although the black strap + red stitching matches the watch perfectly, is too black and red for me. I bought the equivalent one for my AP ROO panda dial and ended up going back to the regular black one.