Foxmouth, these are the correct terms:
QFI - A military term denoting 'Qualified Flying Instructor'. This is only applicable to Central Flying School graduates. QFIs are graded B2 (probationary), B1 (average), A2 (above average) or A1 (exceptional).
FI - Flight Instructor. The correct civil terminology for a Flight Instructor who is not restricted in any way. The old pre-JAR term was 'Flying Instructor'.
FI(R) - Flight Instructor (Restricted). The correct civil terminology for someone who has just completed the JAR-FCL course. Pre-JAR, the equivalent was AFI which stood for Assistant Flying Instructor.