Until I got Camilia oil I used mineral oil. Not that I use oil on my razors... I got it for my kitchen knives It really is good stuff, thinner than mineral oil and comes off a hair easier I think. However it also costs a bit more so you have to decide what direction you want to go.

I have both on hand, but i use the mineral oil on the cutting boards and already mentioned the Camilia oil on the knives. I have yet to have problems with my razors rusting.