Title: A Quick-Reference Guide to the NFL Constitution & Bylaws, Article VIII — Sports Law Blonde™
Headings: 

Content: Player (s)/coach (es)/ other member club employee (s) v. Player (s)/coach (es)/ other member club employee (s), besides unrelated disputes & disputes outside the scope of employment within the League; Player v. League Official; and
Member (s) of the League/player (s)/other League member employee (s) (or any combination of those) v. Member (s) of the League/player (s)/League member employee (s) (or any combination of those), where the issue stems from "conduct detrimental to the best interests of the League or professional football" as determined by the Commissioner according to section 8.6. Moreover, the power accorded here rises to the level expressed as "full, complete, and final jurisdiction." Strictly speaking, the Commissioner gets the power paralleling one of our nation's branches of government - the judicial branch - from this section because the NFL Commissioner can (a) sit and hear each side's case and then make an enforceable final determination on the dispute, and (b) interpret the rules and determine what constitutes "conduct detrimental to the best interests of the League or professional football." As you'll see below, powers paralleling our nation's other two branches of government - the legislative and executive branches - are also bestowed upon the Commissioner through the rules in Article VIII. The arbitrator power is easily susceptible to public criticism, and every NFL Commissioner has steadily seen a fair share of it because in the grand scheme of things, it feels unnatural and unfair given our democratic preferences for one entity to hold so much "endgame" power, and this authority could be the most natural and fair to pass off to another entity for checks-and-balances' sake. 2. Financial Power to Conduct League Business (section 8.4)
Similar to the president of any traditional business entity, the Commissioner sits on the NFL Executive Committee and has the most powerful voice in the room (i.e., he is the head honcho and has power paralleling executive branches of government). So, as the League's principal executive officer, he must preside at all League and Committee meetings and maintain supervision of League business affairs, generally.