The Schedule.
What is one of the most mundane things in sports is actually one of the most important for several reasons. The schedule determines who plays who when, how long of a layoff teams have in between games, so on and so forth. The schedule has so unnecessarily been made a massive media deal that some leagues air their schedule release shows and make a whole production out of it.
Well, yes, the schedule is a big deal. The schedule, specifically in football, does not tend to be as equitable as it should be. There are literal metrics for how much rest teams have when facing their opponents and such. None of that would even exist or be necessary if the schedule was made in a more equitable/egalitarian fashion.
There are also player safety concerns with forcing guys to play 3 football games in a span of 10 or 11 days. Holding all the games the same day of the week every week would be a boon for player safety but of course, it's media exposure and money that matters most to those who actually make the real decisions.
I do have a couple suggestions here to remedy the schedule issue. First, all games are played the same day of the week. That way everyone has the same practice routine, time with the trainers, etc... There are no unnecessary or hidden advantages when making a schedule this way. The other suggestion is how to handle bye weeks and I feel that if you give everyone the same bye week(s), there are no advantages for teams coming off the bye.
In essence, a more equitable/egalitarian approach to schedule making is better for the players, coaches, and teams involved. I'd also argue that it's better for the fans because they don't have to shift their schedules around to accommodate games taking place multiple days of the week. If the Brand New Shield every truly comes into fruition, a new way of doing the schedule will most certainly be implemented.