As someone who works in a brewery, it all depends. Low ABV 4-5% beer from Miller, Pabst, Coors has frozen fine for me. (typical river beers)
Higher carbonation Belgian beers in the 500ml variety (Delerium Tremens) freeze great as well, but lose some of their flavor when frozen.
Micros I've had success with include: Fat tire, Sierra Nevada, Deschutes, Odell, Left Hand, Loveland Alewoks ;-)...yet flavor is off after rewarming...subtle, but detectable.
Non successful (above 10% blowouts) have been Bud (most varieties), corona, Kokaneee
it really comes down to seam strength and if the machine was calibrated that day/week depending on the volume of the beer each brewery produces. ABV and esters also play a role in flavor of the re-warmed product, but beer tastes best when NOT frozen.
I don't notice a difference with river quality beers...i.e Miller/coors/PBR. I do with others....Your River Mileage May Vary