Speakers that are very accurate sounding but don't produce an emotional connection.

not just speakers, but also electronics that measure well but don't sound very good regardless of other equipment...measurements can only do so much...

Rather than thinking in terms of accuracy, I prefer to simply think in terms of sound signature. Because every speaker, no matter how transparent it was designed to be, is just giving you an impression of the music. And that impression either appeals to you, or it doesn’t (and that’s not even getting into the fact that the sound signature, in real-world situations, can’t be separated from the user’s listening environment).

Here’s the problem with thinking in terms of "accuracy"...if you think about it in terms of "accuracy", and you truly believe the speakers are "accurate" and you don’t like what’s coming out, then you either have to move to a new house, find a new band to listen to, or lobby the band to hire a new recording engineer for their next album (some people will say there’s a fourth choice, getting new equipment, but I think that’s too frequently cart-before-horse). Using an analogy to illustrate the "accuracy" fallacy - if you believed your kitchen windows were perfectly clean and spotless, and you didn’t like the view, would you go buy new windows?

So I don’t think of speakers that way - they can never be truly spotless windows, rather they’re paintings that give me a view to the outside world. I also completely avoid the whole "musical" and "magical" thing because for me personally those adjectives aren’t describing the speakers, they’re describing MY emotional response to that speaker designer’s impression of the music, and that is entirely personal and can change from listener to listener, room to room, even day to day.

I am enjoying my Audio Refinement separates with some ProAc Studio 125s on loan until my ProAc Studio 148s arrive.  Most engaging sound I've heard.  Took me a while to get here...

Thank you Charles.

Good OP and many good responses.
+1 with Nonoise on audiophiles being able to put together systems at any price level that can and do avoid the issue.

Merry Christmas, all!

I agree with David12. Many times, the amp makes the difference. Wilsons to me have sounded uninvolving and sterile with ss, except Dartzeel and D'Agostino-- IMHO I do not particularly care for them with the likes of other great amplifiers like Spectral and Burmester. But various Wilson speakers can  sound extraordinary, depending on the model, with Lamm, ARC, VTL, BAT, VAC and others.
Likewise, I have never been drawn in by Magico, many Focal and B&W's 800 series (except, for B&W, with McIntosh amplification which smoothes things over).
Is it possible that I have not enjoyed the any Magico because I have never heard them with tubes? Sure is. I didn't like B&W's 800 series until I heard them with McIntosh. Goes to show that the synergy between amp and speaker is critical.
Finally, David12--the Daedalus brand along with Tannoy, DeVore and other high efficiency speakers can also sound great---but I've only heard those with tubes.