My oily routine: use a gentle foaming cleanser, then a salicylic acid toner (the Paula's Choice one is top tier), and don't skip moisturizer. Drying out your skin too much will just make your oil glands overcompensate.

If your oiliness is also leading to acne, I found The Ordinary 2% Granactive Retinoid at night does wonders for me. If you use that, you must wear sunscreen during the day! A combo moisturizer/sunscreen is best for us oily people imo, Paula's Choice Clear line is great for that

i've heard very good things about paula's choice.