Or how about dropping the regular season down to 10 games + conference championship game, then expanding the playoffs to 8 teams?
By dropping 2 games during the regular season, and adding 1 additional playoff game, those teams in the playoffs would conceivably be playing 1 less game, per season vs. the current format.
12 regular season games + 1 conference championship game + 2 playoff games = 15 total games
10 regular season games + 1 conference championship game + 3 playoff games = 14 total games (again, only for those 2 teams that make it to the final game)