Another strategy: If you have a part that you do not want to appear in any BOM/part list, you can set the part's BOM Structure (Document Settings/BOM) to Phantom or Reference. What is the difference? If you set the BOM Structure to Phantom, the part will appear unchanged in drawing views. This approach will work if:
a) The document is a part and not an assembly. Phantom assemblies will also not appear in a structured bom, but their children are promoted to the assembly's level. You may not want this.
b) The document should never appear in any part list. Changing the document setting instead of using the BOM Structure override on an instance of the part will affect all BOM views that include that part. You cannot set an instance of a part to Phantom. You can only override the part document's BOM Structure by making the instance Reference.
Summary: you can remove a part from all part lists/BOM views without affecting drawing views by setting the BOM Structure to Phantom in the part's document settings dialog.
Katrin Grunawalt (Autodesk)