In search for speakers of "natural" sound

Aren't we all true audiophiles on a quest to find it ? 
Maybe you don't like boxes. Have you ever heard big Soundlabs with right amplification ? I am just guessing. Or perhaps you simply want what is not possible to achieve. I would also try Gryphon and Ypsilon/Lansche systems, in addition - Lamm/Kharma.and Wavac/Kharma. But they are all expensive or terribly expensive. But you may not like any of them. Possibly Audio Note as well.
I have old Michael Green Audio speakers. They have a number of flaws but they do sound quite natural and emotional, not hi-fi at all.

What Harbeth model do you have? IMO, I think Harbeth is a very natural sounding speaker.
I think you best take a look at some of the other gear in your system before replacing them!
What are the components that you are using with them?

About the only speaker I ever heard more “natural” than Harbeth would be Quad ESL 57.  Mine put the group or vocalist right in your room.

Any of the Quad ESL's will "do it"! True long-time references for "natural" sound!

There’s nothing quite like the natural sound-suffocating rattling of the heavy metal Quad grills to excite the senses of older audiophiles.