Yes! I only use cleansing oils when I use foundation, most TM & MSFN days I'll just use a milk cleanser (KORRES Milk Proteins Foaming, at the moment.) I do use a seperate eye makeup remover (Bioderma Sensibio H20), and follow up with a second cleanse.
FTR, I have sensitive, dehydrated skin that can be more combo and clog-prone in Summertime and humidity.
Lancome Huile Douceur. The most effective I've tried, and still my HG. I do find it's got a... floraly smell almost? But it doesn't seem to bother my sensitive skin. It also is quite hydrating - it washes clean, but it leaves a bit of residue; similar to LRP Toleraine Dermo-Cleanser. I find this very nice in Winter.
shu A/O (green). I tried the travel size, I didn't find it emulsified very well. It also had a strong cucumber smell, but it isn't as potent as Caudalie products (for instance. The Buffing Cream... oy vey.)
Nip + Fab Clean Fix. Cheap, but much more effective than something like the Ponds Cold Cream (and less messy.) No smell. Rinses a little too clean though, so I tend to skip this once the weather drops. But I do like this in Summer when my skin is that bit oilier. This has the worst, crappiest packaging of any cleansing oil - the spout constantly leaks after opening, so skip taking this in your bag.
Laneige Moisturizing. Similar to the Lancome in that it tends to leave a bit of a hydrating film, but I don't think it's as effective - the Lancome tends to emulsify more. Also, the allure of Optimum Points or HBC Rewards beats treking to Koreatown.