For sensitive skin, cleansing milk is the way to go.
Although I don't usually wear makeup, on the days I did, I used cleansing wipes or cleansing oil, and it seemed like I was getting a lot of breakouts. So, after hearing that dermatologists and aesthetic clinics all use cleansing milk, I switched to a cleansing milk product as well.
I like the S.Nature brand and it generally suits me well, so I started using the S.Nature Aqua Rice Cleansing Milk again this time. To sum it up, my skin hasn't become too sensitive, and I think it works well. Of course, since it is a cleansing milk, you do need to double cleanse. However, even after double cleansing, my skin doesn't sting or anything. My skin tends to sting quite a bit when I use harsh cleansers. Also, it seems to remove makeup effectively, so I am satisfied!