My current thinking:
Best case scenario is to have speakers with flat anechoic FR, and well behaved off axis. If this is the case for you, correct only the bass region.
Next best is a speaker that is well behaved off axis, but maybe not ideal FR. For this, you can correct for FR errors based on anechoic data, and correct the bass region, and you should be in good shape. ASR member
@Maiky76 has provided computer derived corrections, based on anechoic measurements, for many of the speakers measured here by Amir. I have found these to be excellent, and use them when I can. BTW, once or twice I had a pair of speakers I wanted to correct that had been been measured here, but the filters had not been previously calculated. I asked Mr. Maiky if he could run his algorithm, which he graciously provided.
Unfortunatley, many of us have speakers for which a full set of spins is not available, or which have never been measured at all. Many of these have problems in the FR, and have less than ideal off axis behavior. For these, best approach may well be to correct the bass, and sit close to the speaker when listening, to remove as much of the problematic room reflections as possible. If they still don’t sound good to you, you really do need to consider replacing them, if possible.