Let's back up here a bit. Why is your skin sensitive to the point of it being "burning, red, and stinging"?
Have you seen a dermatologist about this? What skincare products are you currently using?
If you want an answer to your question though, I'm a big fan of Cetaphil products. Their moisturizer is gentle and shouldn't cause any irritation.
Ok I never used moisturizer because I just couldn't stand any ,same goes for sunscreens,none.
Right now ,my daughter and I ,I m 52,so we use ,dual action moisturizer from clean and clear.that is the only one we can stand ,when using benzoyl peroxide or salicylic acid,the skin can get dry .
As you don't mention if you are using acne treatments.
And as weird as it sounds this dermatologist assistant told that she doesn't believe in sunscreens and if I ever wanted to use one,then I should get one from Neutrogena. I was ,what ,? Yes she said that ,humm so stay out of the sun or wear a hat ,almost impossible for most people ,right ?.