Ooh, a thread my old ass feels perfectly at home with!
Wire -- if you like Pink Flag, definitely pick up Chairs Missing and 154, too. Of all the great bands working during that astonishing '77-'80 period, I don't think any of them had a stronger run of albums.
Closer - ow, I love that album: "Atrocity Exhibition", "Isolation"... Don't forget to give Stephen Morris his due, too, though a lot of what makes the drumming so magnetic on that record is that, as you mention, it's all "wrong". That, I imagine, was largely Martin Hannett's doing. If you ever saw the 24 Hour Party People movie, the bit with Hannett trying to get the drum sounds he wanted (including leaving poor Morris out on the roof!) is hysterical.
The funny thing about the Pixies is that, at the time, they were regarded among the crowd I was hanging with as being overrated, or whatever, but I still loved the hell out of them. It seems like they understood that being noisy and being catchy weren't mutually exclusive things far ahead of anyone else.
Other oldish things I've been caning lately: Tubeway Army's "Replicas": "Are 'Friends' Electric?", "Down In The Park", etc are just genius. Early OMD: "Genetic Engineering", "Souvenir", Dazzle Ships, etc. It's a shame that they're best remembered for their later, much weaker material. Echo and the Bunnymen: Ocean Rain, Midnight Oil 10,9,8,7,6,5,4,3,2,1...