This is the sunscreen I use.

This is the Round Lab 365 Safe Sunscreen. Perhaps because I have iron skin, I didn't experience any significant breakouts while using it. Since it is a mineral sunscreen, there is some white cast, but if you use less than the recommended amount and spread it evenly, it isn't very noticeable. If you mix it with lotion properly, the application is smooth and it provides a slight tone-up effect. The price is also reasonable, as it is in the low 10,000 won range when on sale. You need to wash your face thoroughly after using it! If you just roughly cleanse with a foam cleanser, you'll have breakouts the next day. But that is to be expected, and other than that, there aren't really any downsides.