I do not see what DSP, room correction or other equalizations have to do with active vs passive speakers.
The idea of active speakers is attractive but active speakers with a acceptable WaF and acceptable price are rare.
With digital active speakers like the Avantgarde Zero XD, having DSP can do wonders. Its time and phase corrected within a listening window of 2 - 4 m from the speakers. Consequently, it sounds unusually coherent for a horn speaker. Also, the DRC/parametric EQ helps to compensate for the room quite well.
As for active speakers with decent WAF (subjective anyway):
- Avantgarde Zero XD
- Manger S1 or, for a stand mount, C1
- Adam Audio Classic series (which look fairly conventional)
- Dutch and Dutch
- ATC SCM series
- Kii Audio