Are there speakers that disappear regardless of the recording?

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. 

"Are there speakers that disappear regardless of the recording?"

No, I don't think so.  The sense of space and the stereo stage is a function of the original recording.  Others have mentioned the old RCA and Mercury recordings as examples of recordings that capture that space.  Those were made during an age where recording engineers let the conductor and the musicians take care of the balance.  The engineers spent a lot more time finding the optimal location for 2 or 3 microphones.  Some more recent recordings by Keith Johnson, the folks at Telarc, Chandos and Chesky achieve similar results with more modern equipment, but adhering to the minimalist approach to miking the orchestra.  As soon as you start adding more mics, things have the potential to go downhill fast.  Decca in England had some interesting techniques that involved additional mics and were successful in capturing the space, but it was done very carefully. 

Nah it is in the equipment not the speakers.  Speaker design helps but we made old AR 510 box speakers disappear.  Your equipment has to be up to the task.

No, it does not exist. As someone else said, if not in recording its not going to happen. There are so many recordings and all are different. Some sound terrible, some acceptable, and some sound fantastic. There are some older analog lp's that will blow your mind with the unreal tubey magical sound with super wide soundstage. They do not record music in this way anymore....what a shame.