Obari was coming to mind when I watched that even before it was on /m/ (BTW was that you posting it solidvanz?).
Also in the next ep preview, Gundam Guy caught a screen shot of some models:
From left to right I can see Char's Z'Gok, a GM (Arctic or 3 perhaps?), original Gundam on top of Guntank, a red Rick Dom, a DINN, a hybrid between Hamma Hamma and I think Juagg (no idea), Mariner Zaku, Meer's idol performance ZAKU (ha), and what I am assuming is Dynasty Warriors Gundam's Musha Gundam Mark 1.