Single driver full range speakers

 I'm not sure I would say "zero chance", because a) folks who exclusively listen to acoustic music at sensible volumes may be well served by single-drivers, and b) as @arafiq says, some single-drivers are said to outperform 3-way speakers. Lowther and Voxativ also come to mind, though tbh I've never auditioned either of them. 

@devinplombier A friend of mine locally has been messing with 'full range drivers' for the last 25 years. I've heard a variety of them at his house and in my shop as a result. Most of them sound just fine as long as you don't push them too hard. All of them fall flat on their face if you try to play anything with energy (with bass in it) at higher volumes. 

So I've heard Lowther, PHY, Voxitive, Fostex, Tangband and Cube; several different models from each brand. 

If you really want to get the most out your investment in such drivers you'll make sure they don't have any bass excursion on them by using some kind of crossover. IME a better way to do that is by placing a small coupling cap in series with the input of the amp driving that speaker. That way the amp has the same benefit. 

You might be able to find a woofer that is in and of itself has enough inductance to roll itself off as frequency rises, without the need for an added capacitor/inductor/resistor.  For me, the best single driver speaker is an ESL. And yes, they lack bass too.

Not exactly what you are looking for, but PureAudioProject speakers sounds like a single driver but with plenty of super quick and natural bass.

I think it's asking a bit for a single driver to do above 80dB. I see it like connecting every channel on a home theater setup to the center channel. It could sound messy, muddy, more compressed, or less dynamic. The bass driver for example needs to have time to fully move in and out for the most air and dynamics. If it pulls back and has to prematurely push out for the mid-range, it's not as dynamic as it could be, especially if you have a house curve with elevated bass. Just my unscientific opinion.