Hello, New Wave/Synthpop/Technopop is the devil. It possessed me in 1987 and fought with Jazz for my soul ever since. When I want to chill, Jazz is the way to go (unless you are listening to Forever Young by Alphaville, or Somebody by Depeche Mode, or Only You by Yaz (or Yazoo, but NOT "Yazz" - ugh, 'The Only Way is Up' was schlock, but I digress) but New Wave is great for mindless souless entertainment in all other circumstances.
The Smiths. But not Morrisey's solo stuff please. Johnny Marr's guitar work is amazing here, and if you like his stuff, listen to "Nothing but Flowers" by the Talking Heads - Johnny does the guitar work and solo in it. Also check out the band "Electronic" which has Marr on Guitar, and Bernard Sumner from New Order. Their first album had Neil Tennant from the Pet Shop Boys helping out (Listen to "Disappointed" as a single off the "Cool World" soundtrack too) but I think their best album was the second one - "Raise the Pressure," especially the song "For You." Very catchy in a zone out way.
OMD/Orchestral Maneouvres in the Dark. Actually, I really like the album "Sugar Tax" even though by this time the original band split up and it was just Humphries singing to himself. But for the real deal sampling, get the "Best of" album.
All derivations out of Vince Clarke's head. Depeche Mode ("Just can't get enough"), Yaz or Yazoo ("Only you"), Erasure (Just buy the newest compliation, "HITS!") but I don't suggest The Assembly with Feagal Sharkey - "Never Never" bit gorilla balls.
And yes, you must listen to Joy Division in small doses - buy "Permanent" - it's a nice clean remaster of their more popular stuff, with one awful remake of "Love will tear us apart" - listen to the original version on the album instead. Then move on to New Order for a bit happier dancy feel. Power Corruption and Lies is great for the earlier "band" sounding stuff, and "Substance" puts all their long form singles together for the electronic buzz. If you want to hear a good mix of the two styles, check out "Technique" which was the first album after they put out the "Substance" greatest hits.
The Cure is a must listen. "Staring at the Sea" is what i recommend, just a greatest hits sampling of their stuff. Then I would buy the "Kiss Me Kiss Me Kiss Me" and "Disintegration" albums, and maybe a few tracks off their later stuff. "Wish" and "Friday I'm in Love" aren't SO bad. If you can find it somewhere, the 12" New Vocal Club Mix of "Boys don't cry" really brings me back, but beware, it's very "in the times" and a bit outdated.
The other random tunes out there like "The Promise" by When in Rome or "Living in Oblivion" by Anything Box, "Perfect Way" by Scritti Politti, or anything by Alphaville, or Bronski Beat/The Communards (Jimmy Sommerville sings in falsetto) or of course, Soft Cell ("Tainted Love") are all worth a listen. There are tons of one hit wonders and singles out there, but the main groups I listed have albums that can stand on their own, and I would suggest a whole moment for them versus just tossing them in a "NOW! New Wave!" compilation.