drafted using today's 7 round limit:

1992 9 230 Ty Detmer QB Green Bay Packers
1991 11 295 Chris Smith -- Cincinnati Bengals
1989 8 210 Rodney Rice DB New England Patriots
1989 8 215 Warren Wheat G Los Angeles Rams
1988 12 313 David Futrell -- New York Giants
1988 12 319 Steve Kaufusi DE Philadelphia Eagles
1987 9 249 Lakei Heimuli RB Chicago Bears
1986 8 213 Kurt Gouveia LB Washington Redskins
1986 9 230 Cary Whittingham LB Cincinnati Bengals
1986 10 254 Vai Sikahema RB St. Louis Cardinals
1986 11 305 Glen Kozlowski WR Chicago Bears
1986 12 320 Jeff Sprowls -- San Diego Chargers
1984 11 304 Kirk Pendleton -- San Francisco 49ers

To be fair, there were quite a few players taken in rounds 1-7.