Simple thread really, I want to know what games ( or even series) you would say are your epitome of gaming. Games that literally EVERY single gamer should give a try just to say they experienced it.
My list (which may be updated) as games or series everyone should play in their lives are:
1: Xeno series, all of them. IMO Takahashi knows EXACTLY how to mix fantasy and sci-fi with creative story telling that elevates his works to the absolute best of the best.
2: Suikoden series, all of them again. Build an army, fight one on one, six man squad, or entire army battles all in one game and all work exceptionally well. Great fantasy jrpgs that deal more along the lines of a type of "Game of Thrones" type of battle for kingdoms, lands, ect. nail biting action nearly from beginning to end.
3: Fatal Frame series. This series is Japanese horror through and through. If you like Japanese type horror, you'll love this series.
4: Silent Hill first three games. The best of the best of the series that is every bit as genius as Monolith Soft's Xeno series but in the horror genre. Every other game beyond that kind of becomes a lesser entity of narrative, or creativity but the first 3 are masterpieces.
*will add more going to work, but a short starter*