Every year there's a clamor to "fix" overtime in the NFL. The complaint is that the results of a crucial game (especially a playoff game) can often be "decided by a coin flip".
The most popular idea is to adopt something like the NCAA, where each team is guaranteed a chance to score. I've also heard the idea to get rid of "sudden death" and play overtime periods until one team ends the game with the lead, much like in the NBA. I've even heard that field goals should be outlawed in overtime.
All of these ideas are horrible.