In some cases wood ash byproduct can be reused as fertilizers. Beyond that plastic burning or other hazardous gas emissions are harder to reclaim, the problem is the cost of doing it at scale.
Metal reclamation tends to be specific to those, gold and platinum are already recovered but comes with other byproducts.
But even if it's not recyclable, storing solid carbon instead of just burning waste should be used as much as possible if it can limit our environmental footprint.