I have super-oily skin and have been doing some Korean beauty stuff to help. I have found when I under-moisturize, my face over compensates with the oil-slick.

This gel moisturizer is hydrating but lightweight. I use it last before make-up: Mizon Snail Recovery Gel

This sebum control powder is also nice, especially in my t-zone, which tends to grease up the most:
Ciracle Secret Sebum Powder

ETA: this blog has some good tips and products: https://intothegloss.com/2015/11/kor...for-oily-skin/