Seems like someone listed different oils and their specific benefits, but I couldn't find it right off the bat. Maybe somebody else can provide the link.
I have pulled with:
virgin coconut oil from Tropical Traditions
I started with coconut oil because that's what I had on hand. Caution: Don't heap up the spoon like I did. I thought I was going to cough and gag myself to death.
My mother and I went to the HFS and bought sesame oil and sunflower oil. I took the sesame and she took the sunflower, pulled for 2 weeks and switched. She liked the sunflower better and I liked the sesame better. Go figure.
Others have reported that their teeth became really white from OPing with the exception of olive oil which can yellow your teeth. Initially, my teeth became much whiter. I was pulling mostly with oils other than coconut. I smoked for 17 years and while my front teeth were one color from periodic use of those whitening strips, the rest of my teeth were really stained.
Now, all my teeth are the same color and stains and yellow patches are gone. I felt my teeth were not getting as white as others had reported and it seemed they were becoming just a bit more yellow pulling with the yellow and green oils, so I switched back to coconut oil for a while. To be fair, I'm still drinking coffee and tea. Today I pulled with sesame oil and a drop of oil of oregano.
It's recommended that you pull with one oil for 2 weeks or so - so that you can document what it helped or even cured, but other than the sesame that I pulled with for the first 2 weeks, I switched around a lot and still do.
I kind of play a little game with myself each morning and "ask" which oil to pull with. I'll place my hand over the oil and "listen" for either a yes or no. Kind of airy fairy I know and totally unscientific ...
Lately, it's been coconut with a drop of OoO.
If you have a question about a specific oil, you might do a search within the OP forum. Some oils are recommended and some should be avoided. Like I said, I don't know if there is one list somewhere, but that might be something that would be good for the FAQ section if it's not there already.