What category would this type heatsinks fall into?
I have a lot of them all with fans, screws and different metal mounts removed.
All are just cast and copper from many different type laptops.

TY Joe

As is I'm guessing dirty aluminum copper heatsink.
Remove the fan and any steel/plastic and it should be clean aluminum/copper.

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Here to learn more so I can recycle more
My grades are my own opinion and not an official grade from Boardsort

Yup, and the screws go in the light iron/ shred/ unprepared sheet iron pile, or whatever your local yard calls it. There are too many names for essentially the same category. ;)