It’s really the only sport that has to worry about this stuff. Baseball has a natural progression. Other time based sports like hockey and basketball have possessions regularly changing. With frequent scoring in hoop and infrequent scoring in hockey, their systems make sense, especially in the NHL playoff. Soccer, a stupid sport, has a stupid system as it is much more well suited for sudden death like hockey but opts for the random penalty kicks after a fixed period. Dumb. Ties in regular season make sense but a World Cup final decided by penalty kicks is absurd.
I don’t think there is really a great system possible for football without making it hokey like college.