I am a big fan of Dr. Bronner's. It is vegetable-oil based (organic and fair trade, if that interests you), with no artificial color or preservatives (and no scent if you go for the unscented one), so it meets the purest definition of soap.
In addition to the unscented and the peppermint, I have used the tea tree and I like it quite a bit, but I would say that it does leave a bit of scent on your skin, though I wouldn't think it would interfere with your scent. The extra woody base might complement some scents. Peppermint and tea tree are antibacterial, so there may be some deoderant quality to them, and tea tree is often used to treat mild acne. (Tea tree is supposed to repel lice, too, which is good to know if you have little kids.)
Since it is just soap, it can be used for just about anything, however it should not be drying because there are no other detergents in it, and because the naturally-occurring glycerin (a byproduct of pure soap-making) is retained. (Some soapmakers take out the glycerin to use in other products.) I personally have not found it to be drying, although I may not have very sensitive skin.