That was not the question I asked. I asked if FSU we ever ranked #1 prior to Florida? A also asked if FSU ever ended the year ranked #1 by any ranking service, prior to Florida's #1 ranking by several ranking services at the end of 1984 (admittedly none of the most important ones)
The simple answer is, yes, but as you said, they aren't recognized by the NCAA, hence FSU doesn't claim the rankings/championships like Bama does.
#1 1980 - Foundation for the Analysis of Competitions and Tournaments
Soren Sorensen
#1 1987 - Clyde Berryman, Massy Ratings, The Fleming System
#1 1992 - Bob Kirlin, Football by the Numbers, Sagarin Ratings
#1 1994 - Dunkel System
#1 1996 - Alderson System, Nutshell Sports Football Ratings
*FSU also won it's first undisputed National Championship before UF as well in 1993
1993 National Championship
1st-N-Goal
Angelo Louisa
ARGH Power Ratings
Associated Press
Billingsley Report
Bob Kirlin
Century Football Index
Clyde Berryman
Congrove Computer Rankings
DKC Ratings
Dunkel System
Football News
Football Writers Association of America
Foundation for the Analysis of Competitions and Tournaments
Gupta Power Ratings
Harry DeVold
James Howell
Jeff Self
Loren Maxwell
Massy Ratings
National Championship Foundation
New York Times
Peter Wolfe
Sagarin Ratings
Soren Sorensen
Steve Eck
SW!-TECH Computer Ratings
The College Football Statistics Quarterly
The Fleming System
The Sporting News
United Press International
USA Today/CNN
USA Today/National Football Foundation
Washington Touchdown Club