I assume most media types will value skill position players above all else when determining such a ranking. A fan who pays attention understands that a stacked WR/RB/TE core is virtually without value if the QB play is merely replacement level. Recent history suggests a few things about building a championship roster.
1. An elite secondary is the next best thing after an elite QB.
2. An elite pass rush combined with quality defensive coaching can win a title as long as the rest of the defense is functional, but will be exploited if the defense has a glaring weakness elsewhere.
3. A poor offensive line will not necessarily disqualify a team from reaching the later rounds of the playoffs, but it reduces the probability or reaching the Super Bowl significantly.
4. The effectiveness of WR/TE mirrors the effectiveness of the QB. If the QB play is average to poor, than the RB core becomes more important.
5. Depth and functionality are as effective as a single blue chip player.
Considering this, these would be my tiers.
Tier 1: The complete teams - Patriots, Chargers
Tier 2: Missing one piece: Steelers, Colts, Texans, Ravens
Tier 3: Blue chip talent but with significant weaknesses: Chiefs, Browns, Jaguars
Tier 4: The Titans
Tier 5: Just enough to not be totally hopeless: Bills, Jets, Broncos
Tier 6: The terrible: Dolphins, Bengals, Raiders