Have a look at la roche poseys line. I have just started using one I think is called tolereine. I havent looked any of it up independently but it states it covers all the bases in your thread title, and it doesnt look like it has many ingredients. I havent been using it long enough to give my opinion i'm afraid, but I'm sure you could find reviews online.
Triderma Anti-Redness is mostly aloe. Eucerin for Sensitive Skin makes good sunscreens. If you're on a drugstore budget, look up "Neutrogena Oil-Free Moisture". I think there's a moisturizer for combo skin in that line too.
Clean and Clear makes a moisturizer for oily skin.
I am looking for the same! I am scared of putting anything on my face anymore unless it's 100% guaranteed to not cause any new spots or make my face worse! I am just jealous of many people I know including my brothers and friends who either do not give a toss about what they use on their face or they hardly put anything on their face and yet they have a clear face!
This contains parabens, but...honestly, I've used nothing better than it - CeraVe Moisturizing Lotion. You can just use the regular version as opposed to the facial PM version because the ingredients are nearly identical, with the exception that the facial version has nicanimide and a few other ingredients in it. The regular version is 12fl oz while the facial version is 3fl oz - both being around the $13 mark, so you can see where I'm going here.