I have oily, sensitive skin and I breakout easily with new products, but it seems to be okay for me. I guess it depends on each person's skin. You should try out some different sunblocks, most department stores let you try it out and if it doesn't work well with your skin you can return it. I think that cosmetics such as moisturizers, cleansers, and things like sunblock are always a hit and miss. You never know how it's going to react with your skin.

Coppertone has some good sunblocks you might want to try. If you're worried about breaking out you should stick with sunblock specific for the face and I think it should be all right. =)