BFI stands for 'British Film Institute' - an organisation which provides education and funding for british films. They also create an annual BFI Handbook. The BFI also holds the largest film and television archive in Europe, as well as restoring older films.

BFI /B-F-I/ n.

See brute force and ignorance. Also encountered in the variants `BFMI', `brute force and massive ignorance' and `BFBI' `brute force and bloody ignorance'. In some parts of the U.S. this abbreviation was probably reinforced by a company called Browning-Ferris Industries in the waste-management business; a large BFI logo in white-on-blue could be seen on the sides of garbage trucks.

--The Jargon File version 4.3.1, ed. ESR, autonoded by rescdsk.