Which sounds better 2 way or 3 way speaker design

General rule of thumb...Drivers handling approx 30 hz to 300 hz should always be NOT the same driver that handled 300 to 2000 hz.

Having said that, a guy who put 2 dollar trash drivers in a 3 way and designed a trash crossover/ cabinet can make a 3 way sound worse than a guy who put more money and competence into a 2 way.

Parts and build can make a huge difference, but so can how they’re used. For instance, I have a pair of old Yamaha 2 ways speakers than I’m using in a desktop system where they sit 2.5’ from my ears that sound great!  But there is no way I would put them in my main system and expect them to sound as good.

In my own experience with the ATC lines, three ways always sound richer and more lifelike than the 2 ways 

I’ve noticed that most of the high end speaker makers (Rockport , Wilson , Magico , YG, Evolution Acoustics) all use 3 way or 4 way speakers in their mid to upper end lines. Surely this speaks to the benefits of this type of speaker. It seems that one of the main reasons people go with a 2 way is your room size. I’ve seen many threads where members recommend a 2 way based on room size 

A great 2 way can sound great. It has been said that since the Xover is more simple, it is easier to integrate. Most all mixing board speakers are small two ways.