What do you use?
and-- Why do you like it?
Everyone in my household has reasonably oily hair, and all of us have multiple allergies and a lot of trouble with shampoos/hair products as a general rule.
So we all use something different.
DD is PA/TNA, egg, and aloe-allergic-- She uses Suave Peppermint shampoo, which comes in a black bottle (I think it's actally branded "for men" or something), and she uses VO-5 vanilla-mint-tea conditioner (which does contain coconut).
My DH is walnut and soy-allergic-- he uses Suave Apple scented shampoo and no conditioner.
I am SFA (and have a lot of topical/contact allergy issues, plus a sensitive sniffer and some asthma-- scent is a BIG deal for me):
I use Suave Daily Clean-- Ocean Charge shampoo (NOT the two-in-one, though sometimes I will wash once with the shampoo and once with the two-in-one). I also use both the shampoo and conditioner in the Suave rosemary and mint shampoo line, though be careful because they do make one that has almond and shea in a bottle the same light green color.
Why I like Suave-- FULL ingredient labels. This is awesome. They also have relatively cheap feedstocks, so nut proteins and oils aren't super popular (though, as noted, someone with VERY high sensitivity to almond could have trouble, I suppose).
My DD and DH also like the VO-5 line for some of the same reasons-- I just have trouble with their stuff for some reason-- the kiwi shampoo is WAY too drying, and the non-drying ones don't get my scalp clean enough.
What do others like?