Best thing about the EPL, if you suck, you get relegated. Could use that in the NFL.
2014 Rose Bowl: Oakland Raiders vs Detroit Lions - hey, PAC 10 vs Big 10, just like old times.
Yeah, 10-team divisions, with home-and-home giving you an 18 game schedule, no playoffs, bottom/top teams get promoted/demoted. Have a separate FA cup style tournament spaced throughout the year to replace the playoffs.
It lowers the barrier to entry for new franchises, too, as they would only need to be competitive in 4th (or 5th!) division to start up, but could build their way higher over time. It's also an incentive for top teams to not go the "rebuilding year" route, as demotion would be very costly.
It would probably work well for broadcast as well, with the traditional highlight games showing the top division, and maybe moving the lower divisions to nights normally devoid of football, for the true football junkies.
The biggest drawback: potential loss of traditional rivalries for long stretches at a time.
That said, I can't see the owners or player's union going for it. It's a big benefit for the top clubs, and some of the less competitive clubs might actually prefer running on the cheap (*cough* Arizona *cough*). It would probably be the end of the draft, too, allowing prospects to sign with whatever team cares to recruit them (and then possibly sent on loan to a lower division to get some game experience at that level).
L.A. finally gets a team: 33 teams/3 levels of competition/11 teams per level. That might work.