Bring back replays - very simple - THEN go to penalties if the replay can't split the 2 teams.
Oh, and while we're at it, do away with the 150 group games (or however many they play) each and go back to a straight draw out of the hat (no seedings) with games up to the final decided over 2 legs (home and away), and just for good measure make the "Elite" tournament of the Champions League just that, an Elite Competition for league winners.
maybe have 2nd and 2rd go into a UEFA cup type competition that runs the same way as above, oh and perhaps maybe a separate competition for cup winner to go into... something catchy like the UEFA cup winners cup sounds good....
Then the poor players will play less games overall - just thinking of their health and safety here... heaven forbid clubs would be putting profit ahead of their own, very valuable assets safety.. surely not