Trashing natural selection as a special case.

Yeah, psi immediately comes to mind.

I don't really think these are comparable as I was speaking as someone who denies the existence of "natural laws" as an inherently flawed concept. So for me a "natural law" is short hand for noting something you are so sure of exists that it's, functionally, a brute fact that can be taken for granted. However the metaphysical idea of a "natural law" still remains flawed.

I can accept findings about things such as the nature of black holes and the QM level of reality without demanding some application, what I object to is the idea that there are supposedly definitive regularities that apply across the universe without application. Though of course applications really mean that locally we are confident in the "law", we don't really know whether said "law" applies across the universe.

Similarly I can accept Psi, though for me that would be the combination of some tentative interest due to lab studies but the stronger consideration coming from witness accounts.