Dear [Mr. Zero],
I am sorry to inform you that the Junior Appointments Committee has decided not to pursue your candidacy further at this point. We received nearly two hundred responses to our advertisement, including a great many from highly talented and accomplished applicants. Obviously there are many different considerations on which our decisions are based, and I hope you will appreciate that I cannot go into specifics about individual cases. We will keep your dossier on file until next year, when we shall probably be advertising a junior position again.
Thank you for giving us the opportunity to consider your credentials, and let me wish you the best of luck in your job search.
Or this one, from UChicago, which I received in the spring of '08:
Thank you very much for your application to our advertised position. After a long and careful process, I regret to say that we are not furthering your candidacy. I wish you the very best in your further endeavors, and look forward to many years as colleagues in our common profession.
"Yours very warmly, ...
In comments here, Zombie mentions another, from UDelaware, that isn't bad:
Thank you very much for applying for the position of assistant professor of philosophy at the University of Delaware. I am sorry to have to tell you that we are only able to interview twelve of the four hundred candidates who applied and you were not among those selected.
I hope you will excuse the impersonal nature of this email and accept our best wishes for success in your search of a suitable position.
Search Committee Chair