Chandu
I Waxed The Badger.
Mystic Waters unscented is good. Schaf makes an unscented, VERY GENTLE brushless. Baum.be makes a very lightly scented cream that was designed for folks with skin issues. It's probably the best lathering cream I've used. Don't buy the puck though, your arm will fall off before you will get a good lather.I think the only way is try, unfortunately. I have found that even some unscented soaps dont agree with me, and lately, even lightly scented ones that were previously ok. So no more scented soaps for me. The best unscented for me are any of Stirlings unscented offererings and TOBS Organic.
It sounds like you've started to develop some sort of allergy or intolerance. What I would do is take the ingredients list from the soaps that previously worked, but now don't. List out the ingredients. Look for fragrance oils or essential oils that are common to the ones that no longer work. Those would be at the top of the list to avoid I would think.