I am pretty shiny, especially my forehead. My cheeks are maybe more on the satiny side. I have to be careful with oily moisturizers, because they will make my skin feel greasy all day--they don't seem to soak in if I use even a tiny bit too much.
The timing of your question is good! I have been wearing mineral makeup (powder foundation), and I haven't been noticing shine. But I took a few days' break recently and went makeup free, and the shine has returned. So now I know what the mineral foundation is doing for me.
In general, I enjoy shiny things--coated jeans, metallic shoes, etc. But I tend to gravitate toward those more when my hair is straighter and sleeker, as opposed to when it is a little wavier. When it's wavier, I am more prone to choose textured fabrics.