Answered[ Edited ]
Do you mean for face makeup products like foundation? If not Clinique, which is one of the only mid-range price brands that makes makeup with such a high focus on skincare properties, I'd probably say your next best bet is high-end brands that use high-quality ingredients. For face makeup, that means Dior, Lancome, and Laura Mercier in my personal opinion.
I have always had really unbelievably sensitive skin and have always been super bummed I couldn't wear a lot of makeup. What I finally found was that once I started taking better care of my skin and using the right cleanser and moisturizer, I was able to wear more makeup! I use Philosophy Purity cleanser and Hope in a Jar moisturizer. For makeup, I use MAC's mineralize line, but I like Nars blush. Good luck!