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The Fallout games in general have some ties with the Mass Effect games, mainly due to the fact that they are both RPGs. Fallout 4 in particular reminded me a lot of Mass Effect when the Institute came into the mix. Its more of a nuclear apocalypse version of Mass Effect.
The Dragon Age games are set in a fantasy world, but they are made by the same developer. You wont have any guns or space ships, but they are good games with the same moral approach to the story telling.
Back before EA got their money grubbing hands on the franchise there were some good story driven Star Wars Game. The connection between Mass Effect and Star Wars is fairly obvious, so even if you are not a big fan of the movies, you will probably still like this game.
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