This are who I ship together:
Arthur/Francine
Buster/Fern
Binky/Sue Ellen
Muffy/Buster(They'd be in a relationship until she found out just HOW disguisting Buster truely is and she'd get together with some rich guy,while Fern,who I'll say has had a crush on Buster for a long time,consoles Buster after the breakup and thus he falls for her)
Brain/Prunella
Rattles/Molly(While Slink would have a major crush on Molly)
D.W./Tommy Tibble
Emily/James

I really never think about Arthur relationships, but I would say this is exactly how I would imagine them.

The only relationship that I had thought about before was Binky/Sue Ellen. I always thought that this one was pretty obvious. I can't recall any episodes off the top of my head at the moment, but I've always picked up some subtle hints throughout the series that made me pair them up in my head.