Hokay...so far I've gone through TROs 3058, 3060, 3067r; 3075; 3085 and Prototypes; and also used Xotl's Quirks List (which is semi-official since he's on the MUL Team and generally covers TROs 3039 and 3050) as a basis.
Here's a quirks list which ought to cover basically everything we've got. If a Mech doesn't appear on it, then the writeup and/or artwork isn't sufficient to justify a given Mech quirk according to the above sources. A whole LOT of writeups in the TROs are actually really sparse, so there's fairly few Mechs which qualify for published quirks (I've got about 240 entries of out of about 750 Mech chassis).
A few notes:
1) This is only about Mechs. No Vees, no ASFs (the Chippewas should, IMO, be the exception here, since they're actually the source of the Improved Cooling Jacket quirk), and no IndustrialMechs.
2) Some Quirks are abbreviated. Narrow Profile instead of Narrow/Low Profile. No Arms instead of No/Minimal Arms, and so forth.
3) Quirks are assigned to chassis. If a particular variant should have a quirk, it is a limitation written in the Quirk section itself; assume all quirks apply to ALL models of a unit unless the quirk is physically impossible to apply (such as the Improved Cooling Jacket for the ERLL on the Barghest...there's a model that doesn't have any ER Larges at all).
4) "No Arms" and "No Torso Twist" quirks are judgement calls based on the artwork...
-4a) My guideline for "No Torso Twist" is that the Mech have no visible "turret ring" at the waist, and look to have limited enough mobility in the hip and knee joints so as not to be able to shift the direction of the torso by bending one leg and rotating around the bent leg's hip. The Cestus and Bushwacker are good examples here.
-4b) My guideline for "No Arms" is to look at the Mech and ask myself if I think the arms pictured on the Mech could help it stand; just having "gun arms" is not a qualifier...I give Mechs with long weapon barrels such as the Rifleman, Razorback, or the Talon the benefit of the doubt. Having two arms with tiny weapons on them (Strider) or one arm with a long weapon but that appears to be fixed in place (UrbanMech) are generally what qualifies a Mech for this quirk.
5) I'm happy to defend or explain any choices. If Xotl was the one who assigned the quirks, then I'll reference him as the answer. Otherwise I can quote a passage or show the art to explain why a Mech has a given Quirk.