There has been a lot of talk on here in the past about an oil called G-Oil, which apparently was quite popular, did decently well, and was based off of renewable, non-petroleum oil stocks. I myself have never used it, but I'm not averse to it.
I've also enjoyed reading about people using canola oil in their engines, but personally, I'm not sure if I'd feel comfortable running them in my daily driver, at least not quite yet. I'd have to see a lot more tests done, and under very controlled, scientific conditions. Add to that, the fact that even those who I've seen use canola oil in their engines on here, did not run PURE canola oil.. they ran a mixture of Canola and something like Rotella, so they at least had an add pack of some sort.