Ime Stax headphones are a very tough act to follow. What they do well, they do very very well.
In general I think the closest approaches in a loudspeaker system will be what Erik suggested, "large drivers in a well treated room." And imo those "large drivers" can be dynamic or electrostatic.
When it comes to the subjective impression of "speed", imo the factors that come into play include the frequency response; power-to-weight ratios (motor strength vs moving mass); coherence of the leading-edge of the waveform; and smooth and quick and uniform decay at the trailing edge of the waveform. Imo amp + speaker + room = a "system within a system", meaning that how the speaker interacts with the amp and with the room both matter. This will be an over-simplification, but the amp sees the speaker's impedance curve, and the room sees the speaker's radiation pattern.
It may not be obvious that the frequency response plays a role in "speed", but the balance of top-octave energy relative to the rest of the spectrum is closely related to our perception of "speed". Note that most speakers are beaming in their top octave, so even if their on-axis response looks good "on paper", once the reverberant energy is factored in, they are often lacking in top-octave energy, which will manifest as a subjective lack of speed. But tipping up the on-axis response to compensate can cause listening fatigue. So imo the solution involves minimizing the spectral discrepancy between the first-arrival sound and the reverberant field.
Duke
dealer/manufacturer/feels the need for speed