I enjoy talking about and learning new things about loudspeakers. With loudspeakers, so many parameters exist and quite frankly, that they work 'at all' is nothing less than phenomenal. this said..over the years, several objectives have been sought after by 'most all' loudspeaker manufactures at a given time.
Just to put some perspective on this, I will start by saying I have built loudspeaker systems since the early 70's and have had some rather good designs but as we all know..marketability is the key deal with speakers. Look at the number one selling loudspeaker brand in the world. Many here will say they are junk while others think they are the greatest thing since sliced bread.
Some loudspeakers that stand out over the years as unique and enjoyable (not necessarily accurate) are:
The Quad ESL57 system (electrostatic)
Kef 104.2 (Dynamic)
Klipschorns (Full range 3 way horn system)
Bozak Concert grand (infinity baffle/phased array tweeters)
The Hill plasmatronic (ionic tweeter array, gas driven)
Infinity Reference VI (4 enclosure array/12 woofers, dozens of ribbons)
Auratone cube (wide range high power single driver)
JBL 4435 (Hi Power studio monitor w/ biradial horn)
JBL 4310/4311 (Studio standard for 12 years)
Altec A7-500 (Voice of the theater, front loaded reflex bass horn, multicell mid/tweeter)
Yamaha NS1000 (Very low distortion direct radiators using beryllium deposited domes)
Rogers LS3/5 (Small BBC monitor)
Dynaudio confidence
SP Tech Timepiece 2.0
Every one of these systems have an intended use but all of them can excite emotion when used with good program material in a proper room.
As far as exotics go..until the way we record and reproduce sound has evolved, we are basically stuck with variations on a theme.
Here is a project I am involved with in the demonstration/validation phase.
http://www.integraltransference.com/yes, to reproduce music, their are so many ways to do it..like I say, it is a wonder any of it resembles music at all. I compare various loudspeakers to the various types of flying machines actually. they all do the same thing..but come in all shapes and sizes and levels of performance.
Just don't forget, room interaction plays a huge role in the outcome.