I've seen Breadwinner mentioned a few times now, so I'll have to hear them. Don't think I've ever heard of Foe.
Thingy - yes. I'd like that "new" album.
I'm not sure what Don Caballero you've heard (from the looks of it, I'd guess DC2), but maybe try the Singles Breaking Up collection for simpler less abrasive stuff or the later albums for much less noisy (but a lot more complex, or maybe that was the noise). After DC there's also Battles.
some favorites of mine-
Hella I've found to be similar but more "fun." Try The Devil Isn't Red if you haven't.
Laddio Bolocko has some great math rock stuff. Try the song "Goat Lips."
Yowie is the craziest I've encountered. Just bought Cryptooology for myself. http://www.skingraftrecords.com/audio.html
Natural Dreamers have a nice short album (20 min.). Try "Diamond Mines."
Lastly, check out the Japanese band Happy Family's last two albums (s/t and Toscco).