Lots of great info here; most pedals I'd mention have been covered. But, what nearly all of them do is, as the tighten the response many will lose low end, and 'narrow' the tone...which of course, is part of the job.
But, 1 pedal that tightens, without losing low end, leaves the sound big/wide without narrowing it, is quieter than any pedal I've ever played( I still have an 86 SD1, have had many OD1s, Savage Drive, VFE and other pedals) is the Boss OD1X. Where I used to double boost a Jubilee for example, the OD1X does what my 2 pedals I used to use do. I also had a vintage Boss GE 10, great unit but after dialing it in, it sounded almost identical to the OD1X and was far noisier.