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I have mild rosacea, sensitive skin. The following (as far as I can tell from my research) do not contain fragrance or alcohol and they have not aggravated my skin or made me break out:
For everyday (mineral sunscreen; it's tinted and eliminates any need for foundation for me): Skinceuticals Physical Fusion UV Defense SPF 50: https://www.dermstore.com/prod....._65235.htm
For workouts or when I anticipate being out in the sun for a while: Rotho Skin Aqua UV Super Moisture Milk SPF 50+ PA++++: https://www.amazon.com/ROHTO-S.....8&qid
Biore watery essence (spf 50, can get it on amazon) and Peter Thomas Roth mineral sunscreen powder on top - it comes in a little stick with a brush attached, so it's super easy to throw into your purse or beach bag for touchups