To me there are two forms of political (not in everything but within relevant context)
1. A game that address a recent political agenda or concern, the sort of debate or issue that gets talked about on the news or societal trends (like taxes or sexism)
2. A game that has politics within its world that have their own rules and machinations, which may be applicable to something that has happened in political history, or current day events in our politics.
FOR EXAMPLE:
1. Agenda in a game: The Last of Us depicts homosexuality for several characters and has a reasonable amount of multicultural representation in its cast. For a 2013 game that sort of acceptance and representation was on the rise in popular media, with a lot of artists showing their support by breaking the mould of always having exclusively a white or straight cast. That is political, because it has to do with the social politics of that particular time, and things you would hear debated hotly on the news.
2. In-world political game: Mass Effect is about the politics between an alien civilization which humans are a part of. There is a bunch of racist ideas between races, and some of that speaks to behavior we see in reality. Is it however political? Does it address anything you hear specifically on the news? No. It can't because you're not gonna hear anyone talk about aliens. You could call this allegory but that assumes the story was told with an intent to Trojan-Horse a "REAL STORY" underneath through masked caricatures. That's not really it, or I certainly don't think it's the intent. It's applicability. The writers had ideas when they wrote these things which taps into personal politics they may have or it may even have been a whiff of fancy that they made that similarity.
The most real-world politics thing that happened in Mass Effect, at least Mass Effect 1 was the Geoff Keighley vs Fox News about sex in games, which sparked from its content - content that was not politicized, but became it once journalists found a scandal to make with it.
I don't think we seperate the kinds of "politics in a game" enough in our pursuit of proving that certain games "are inherently political."
For my pick of a genuinely apolitical game, I would say Jak 2 and I'll humor it because I think it tried pretty hard to be GTA III, but the difference between that Naughty Dog series and Rockstar is that Rockstar always went for societal satire and commentary, which is political but Jak 2 was only interested in the car jacking and the guns and was otherwise just an edgy saturday morning cartoon platformer.