I hesitated before replying to this thread because there's just too many hands that I'm prepared to fold pre-flop that answering the question just wasn't worth the time it would take. But after thinking about it and actually reading the question posed by slgalt, "Anyone have a hand they are just allergic to?" I have to admit that I'm not really opposed to playing any hand if I have good odds.
I use to routinely fold hands like: 73o, 43o, J4o, 32s, 63o, Q7o, 43s, A3o, T6s, 54o, Q5s, 92s, Q9o, 93s, Q6s, 85o, 93o, K3s, K4s, J2o, Q2o, 84o, A2o, 83s, T3s, T2s, J5s, 97s, Q8s, 94s, 42s, 86o, Q6o, 86s, 32o, 74s, 53s, Q4o, J2s, 64o, J8s, K9o, K2s, J3o, 64s, 63s, 87o, 92o, 73o, 42o, Q3s, K6s, 62s, T3o, 83o, 53o, 74o, T2o, 52s, 52o, J6o, 95o, 84s, 72s, 75o, J3s, 82s (thanks zachvac for the write up). But if I'm holding one of those hands when I'm in the BB or SB with a mini-raise from the player immediately to my left followed by a long series of calls, I will make that call. The implied odds are, more often than not, huge and setting up a check-raise is very profitable. Likewise, if there is a mini or small bet made from someone in EP and there are four or more callers while I'm on the Button, I'll pay it off for the same reason. Obviously this doesn't happen too often, and that's why it's worth it (at least to me) to make the call.
Past that, the only hand(s) that makes me jittery are KJ and KT from EP or Early MP.