Yeah, regular oysters (Pleurotus ostreatus)
should grow on stumps of walnut and oak, although I don't know anything about plane trees! A few sources (Field & Forest) state that oysters don't like oaks, but
Stamets says they do. Just wait a few weeks after cutting before inoculating. Personally, I prefer shiitake on oaks. Maybe you could try Maitake/Hen of the Woods (Grifola frondosa) on your oak stumps, too... This species is really delicious and likes the base of living oak trees and stumps.