There are many!
How hard a load the speakers are on the amp.
Some speakers with high efficiency can be driven by 5 watts and less even while some speakers impedence curb goes down to 1 ohm at certain frequencies....not every amp can deal with that, even some rated at 200 watts.
An amp rated at 150 watts might have a problem driving low impedence loads because of a poorly designed power supply.
Some nicely designed 20 watts class A will have more guts and driving power than a class A/B 100 watter amplifier.
I have always found more power the more resolving an amplifier is, it has ability to grip the speaker and handle power swings and speaker needs with ease and always be on top, when i say more power i mean a quality amp that has a well designed power supply, that can be heard at low level listening which is very important to me.
There are other factors also, system synergy if you are using multiple pieces of equipment like amps and pre-amps just seem to meld together while some combos seem congested and work against one another, room size also will matter, if you have cathedral like listening room you will need to bring your volume up and stress the amps quite a bit more than in a 12' by 15' room.
I had some 845 based monoblocks that delivered 18 watts of sweet holographic and illuminated sound trough my 91Db efficiency speakers....i changed the speakers to ones that had an 87Bd efficiency and a hard load.....the magic was gone........another amp came in...150 watts in class 'A'....the magic was back with the new speakers...differently but put a big slash on my face nevertheless
Its a great hobby with so much to experiment with....the Oddysey goes on!