I do to some products, yes. Mascara's the worst for me. I have to put it on lightly and make sure to not let it touch the base of my lash line or else my eyes will just get so irritated/watery/red that I have to immediately take it off. I don't wear it that much now, but even when I do my eyes are still slightly irritated. A lot of eyeshadows will do this to me as well, so I avoid those.
Your best bet is probably Clinique makeup; the majority of it is designed for *extremely* sensitive skin and allergy-prone people, so if any type of makeup is going to work for you, you might want to give some of their products a shot. They are however, a bit expensive at times. But well worth it! Especially their skin (foundation, primer, concealer, powders, etc.) products.
I know how frustrating it can be to not be able to use certain makeup so best of luck! :)
A lot of people are allergic to makeup - there are a lot of chemicals in them that can irritate too, even if you aren't allergic! There hypo-allergenic make up problems (I think you can find them at most drug stores) so if make up has been irritating you I would try one of those products
As far as I know I think I am allergic to eye liner, it might be the cheap kind of eye liner that I am allergic to. I always thought it was because I wasn't use to eye liner, but I used it a few times in a row and it never changed. Other than that nothing else.