Plastics were a Japanese new-wave band that toured with the B-52s! They've got a similar sound and have this delightful cover of The Monkees' "Last Train to Clarksville." Another Japanese group, Ippu-Do, has a great album, Normal, that I really enjoy. A little bit of ska sound too... (Hi, I love ska. Don't let me start talking about ska.)
The Stranglers have dabbled in a few styles over the years (started with a punk sound, then slid into post-punk and new-wave). I'd recommend you check out their records Feline, Aural Sculpture and Dreamtime!
Other honorable mentions: ABC (specifically their album Lexicon of Love), Blotto, the Motels, the Bongos, the Mundanes (if you've heard of They Might Be Giants, lead singer/keyboardist/accordionist/etc. John Linnell was in The Mundanes first!)