More important to me then the power rating and weight of a transformer is the ability to drive a 4 ohm load safely, continuously. That doesn't require a 1/2 kw power amp or a 50 lb transformer. Most vintage receivers, often with 10 - 20 wpc where more then capable of driving a 4 nominal ohm load (Dipping even lower) all day.
Many recent AVR's and some stereo amps/receivers are either not certified to drive 4 ohm speakers, regardless of the power rating, Or they require you to put the amp in low power mode. Also they advertise AVR's like my Yamaha Avantage Rx A770 at 95w x 7. That's hogwash. It's 95w x 2, with all 7 channels operating flat out, it's likely closer to 40 - 45w x 7. It does have a big transformer though. To be fair, even that when using a sub to do the heavy lifting is plenty for most folks.
That said, the A770's 590w input power rating is pretty much what we might expect out of a 75 wpc stereo amp. Assuming when I switch it to the 6 ohm mode they suggest to drive lower the 8 ohm speakers the 95w x 2 power rating drops to about 75 wpc.
Consider this. In a perfect world a 100 wpc amp might produce 200w at 4 ohms. Even with highly compressed music or some clipping it might still only need 200w of continuous power with a class A/B amps at 50% efficiency. Short term power will be much higher when we add capacitors. Of course we want to control voltage sag and not over stess the transformer, so to be safe, a 400w transformer should cover it when combined wth enough storage. We are not building tanks or welders, we want to play music.