TS-9 (Stock and AnalogMan Modded)
Maxon OD-808
Bad Monkey
Screaming Blues
Boss Super Overdrive SD-1
Boss Blues Driver (Stock and Keeley Modded)
Barber Direct Drive
Nova Drive
Seymour Duncan Twin Tube
Satchurator
M.I. Audio Blue Boy Deluxe
Bought and sold all of the above except the Satchurator and the M.I. Blue Boy Deluxe. For me, these two pedals clean up the best, and also have more gain at the other end than most TS-9 types. The modded pedals were better than stock, but only marginally, to my ears.
(I play PRS, Strats, Teles, and Les Pauls through Mark III combos with Celestion GT-100s and EV/Thieles. I play quietly and loudly, and actually prefer the pedal distortion at low volumes. Well, sometimes.)
With all the TS-9 types, even modded, I always end up running the tone control at zero - they're just too bright for me. The Blue Boy has great tone controls - Bright, Mids, Tone, and Character, which you can use to add or subtract that "flubby" bass.
I just dig the Satchurator's liquidy Marshally lead tone. No, its tone control doesn't work, but the tone controls on Marshalls don't do much, either.
Now, these are just my opinions. The important thing is to find the pedals that work with your sound. I might like completely different dirt boxes if I played Rectos or Bogners or Twin Reverbs.
My 2 cents. YMMV