A TIE game should NEVER be considered as the "game of the century", just as "kissing your sister" (what tie games are often called) should not be considered the "kiss of the century".
There are so many more games to consider other than a TIE game from 1966.
How about the 1983 Orange Bowl game between Nebraska and Miami. 31-30 with Miami winning it's first national championship, and Tom Osborne going for two points and the win, and failing, and a freshman quarterback named Bernie Kosar leading the Hurricanes to victory.
Ohio State versus Miami, 2003 Fiesta Bowl. 31-24 with Ohio State winning the national championship in DOUBLE overtime.
I'll also throw in there the 2006 Rose Bowl between Texas and USC, with Vince Young leading the underdog Longhorns to a thrilling 41-38 victory and snapping USC's 34 game winning streak.