Stick with light products (as you probably are) and try to go for organic where you can. Often it is the chemicals and other nasty things that are used in cosmetics that cause issues.
It's tough trying to find the right thing that doesn't cause irritation. Recently I moved on to using Just Nourish Me which is a Marine Collagen Serum. This is made from seaweed and essential oils. The ingredients are on their website which you'll find on Google if you search for Just Nourish Me.
What I also do is take care of my digestive health. Often the body is unable to cope with what is put on the skin because it identifies it as a pollutant and tries to fight it off when that's not always the case.
I'd suggest considering what you eat and look into gut health and colon cleansing. I know this sounds a bit off topic, but if you're experiencing sensitive skin this is just a symptom. The issue is likely your skin is hypersensitive as your body is unable to purge toxins.
A Bentonite Clay cleanse and a juice fast may be enough to get the matter out that your body needs to. After that, when you introduce foods again I would make Irish Sea Moss a part of my diet to support inner health. The bonus with this is that Irish Sea Moss is packed with collagen, just what your skin most likely needs.
The Healthy Eating series of articles on Detox & Cure has a selection of articles that describe how you can use Irish Sea Moss.
Another tip would be to consume at least 1 liter of water with a pinch of Himalayan Salt or Celtic Sea Salt for every 22 kilograms of body weight every day. This will help flush your system and hydrate. You need to really make sure you keep your hydration up anytime you do a cleanse.
Skin health is driven by inner health, and as the skin is the biggest organ we have, it is often the most susceptible to impacts of bad health and lifestyle choices!