What are you talking about? That's always been common =) Non-marked is at least better than super vague in house markings that make no sense unless you know the building it came from and the guy that marked it =>. For 500ma nothing seems wrong with the transformer size to me, and by the way what you're calling the transistor is probably actually the IC regulator.
Any idea why the primaries thermal fuse blew? It's uncommon for these kinds of supplies to fail, although it might not be short circuit or overload protected it doesn't make sense that the primary blew, unless the whole mass heated up enough to justify blowing the primary, which would mean the regulator isn't over current or thermally protected.