Are there speakers that disappear regardless of the recording?

Auditorium-23 Solovox.  Sure wish I still had mine.

Good Room is a must for this magical feat!

This is probably not what the OP is referring to, but anyone who has ever heard the Beveridge electrostatic speakers would have to answer YES.  They generated a true cylindrical wavefront - you could walk anywhere in the room including around and between the speakers without ever being able to tell where the sound was coming from!

You appear to be referring to PRESENTATION of the music in your listening environment. On this very aspect, some transducers are better than others, yet even the best of the best need a great deal of perseverance with set up for your needs. 

All upstream and downstream technology and features need to be well selected and tuned to achieve a palpable soundstage in all dimensions. When this is achieved, it can be a revelation and one's enjoyment of the music should take a huge leap forward.

The recordings do matter a lot and setup too. Most speakers CAN disappear, and do it much of the time.

Magneplanars disappear like 95% of the time except with hard-panned, L-R, jazz. They can be finicky, but even when they're not perfectly optimized they're nowhere to be found. Switching back, almost all box speakers have some box sound to them which makes them easier to"find". 

Don't get me wrong, I love box speakers, the visceral aspects of boxes with traditional drivers keep me coming back. But Magnepans disappear with ease.