I'm no expert but a lot of "SQ" subs sound fairly similar to me, but there are some that stand out as very different.
The Stereo Integrity BM mkIV is one that's different IMO & popular with SQ guys. I'd call it very low distortion sub. To me it almost sounds too smooth, buttery smooth. It goes very low without much effort but the downside it just doesn't sound very loud. Below about 45hz I really like the way it sounds, but above that it seemed to be lacking impact.
Another sub that sounds very different is a Pioneer's pro-audio ( been told it sounds similar to JBL Pro-audio 2226h/j). To me It just doesn't sound like a sub at all. It just sound like real instruments, kick drums, cellos, organs... Lots of impact, detail, transparency, and can cross much higher than others and sound right doing it. Plays very loud but the downside is it doesn't dig that low. Very different sound from the Dayton Audio, Image Dynamic... type subs.
Seems that most subs always involve some kind of compromise. I guess that's part of the fun, finding out what most important to you.