There is no built-in method to do this. You have two options
- Write a program using the API
- Write a report
To just do this for one part or assembly at a time you can look in the Contains or Where Used tab (both show the related drawings, but Where Used is often easier because tends to be fewer non-drawing documents listed).
And then there is a save icon in the lower right - you can save the results out to a .csv.
But if you want a complete table of all files in your vault... see response by Dekoning.
Copy Tree can find all the drawings, and you can save the file list without actually copying anything (right click in the list and "save file list"). The file list is in text format, and will require some massaging to get you the table you want, but it's a start. It will also get linked drawings from anywhere in the vault.