Where can I buy a list of a few thousand direct personal phone numbers
of high level executives both domestically and internationally? such
as the company
directory where the partners direct numbers are listed so you can call
without going through a secretary.

CEOs of important companies do not want to get phone calls from every
Tom, Dick and Harry. That's why their business telephone numbers are
usually confidential, and that's also why they have secretaries who
get rid of unwanted callers. No doubt that they change their numbers
as soon as they find out that outsiders know them.

Or, in lingua franca: I doubt that your request will be successful.

Scriptor

I agree with Scriptor. If such a list existed, it would become
obsolete very quickly. The high-level executives on the list would
change their phone numbers as soon as the nuisance calls began to come
in.