Disco Elysium and Papers please are the only two games that I can think of right now that explore political elements in some way. I'm not quite sure if they would meet your requirements exactly though.

Disco Elysium is pretty heavily socialist, and is hailed for having great writing.

Night in the Woods was made by DemSocs and is basically exploring the consequences of neoliberalism on a rust-belt town.

Idk what a socialist game is. But if you like city builders Workers & Resources: Soviet Republic is a cool city builder. Where it actually makes sense to have an disembodied force directing city building as that's how planned economies work anyways.

Disco Elysium is great for being written by socialists, but also goes into the internal struggles of socialist thinking and their views on other political ideologies. Also it's just really good.

Tonight we riot is a sidescrolling beatem up thats pretty leftist.

Fallout.