A test article, so forgive me for the obvious lack of depth.
If you don't play games, you're not just missing out, you're ignoring an immensely creative art form which I believe is a privilege for us to have been experiencing in our modern time. I'll list out a few of my personal favorites and while summer is at the doorstep, let's give them a try and have fun getting stuck.

Portal and Portal 2 (PC). The reasons I love Valve as a gaming company.
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Final Fantasy 6-7-9 (SNES-PSX). 6 for the best FF ever made, 7 for Sephiroth and 9 for what the franchise aimed to be.
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Oops where's Vivi?
BioShock Trilogy (PC). Best gameplay can be found in BioShock 2, while plot-wise I couldn't decide between BioShock and BioShock Infinite. Either ways don't miss those three, and there're heavy discounts on Steam for the whole package I guess.
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They're all Heads for a reason
Ori and the Blind Forest (PC). Have fun climbing the waterfall, and if you can't, just stop for couple of hours to gaze at the art.
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How cool is that?
Chrono Trigger (DS). The time-spaceship Epoch is basically what humanity in the past century or so all dreamed to have built.
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Yo!