Do you consider 3PP house rules?
Of course you can adjudicate almost anything with the rules and guidelines provided, but it relies on the DM more than what you are looking for I am guessing.
For example, the basilisk's
Pertifying Gaze says: ...
On a failure, the creature is petrified until freed by the greater restoration spell or other magic.
IMO, as DM, it is within the rules and guidelines of the game to allow an arcana or nature check to allow the PCs to learn that washing a petrified victim with 2 pints of fresh basilisk blood within 24 hrs of petrification reverses the effect. From the DMG I would assign the following DCs*:
- Blood reverses petrification: DC 10 arcana, DC 15 nature
- 2 pints of blood are required: DC 15 arcana, DC 20 Nature
- 24 hr limit of effectiveness: DC 15 arcana, DC 20 Nature
*These values might change based on the type of campaign I am running.
That is all without house rules IMO. It is just adjudicating actions.