Everyone complains about this, but the difference between winning and losing the coin toss is barely statistically significant (roughly 53% of the time, the coin toss winner wins overtime, historically).
Remember, if you receive in OT, and fail to get a first down, you're giving the ball to the opposition with generally excellent field position, when all they need is a field goal.
Would you rather they go with the college system, which STARTS the teams in field goal range?
Yes. There's no way to spin an overtime where only one team has a possession, and the game can be won with only one team having a chance to score. You can make all the same arguments about baseball. So, if the visiting team scores in the top of the tenth, game over.
You could use a sudden death scenario in any sport where ties are broken. In tennis, flip a coin and the first player to win a game is the winner. Or the first player who wins a point.