For all the medium's excitement about realism in GRAPHICS and in being cinematic, video games that attempt what we might call realism in the sense we might use the term for a movie or book are to this day essentially avant-garde, outside of the simulator space. Narratives and premises often cling tightly to fantastical trappings. Or even when the setting is recognizably the real world, games cling to pulpy genre conventions like those of the detective, the romance, the action movie, the war story, or the medical drama, rather than attempting to recreate the everyday and mundane from first-order observation of real life. This is a list of games that do attempt realism in premise. If you can think of any, please comment!

Borderline games that include realism in stretches but ultimately flinch and incorporate fantastical or pulp elements:
Phantasmagoria 2 (uses long stretches of office-life mundanity as the vital foil for its sci-fi psych erotic horror)
Adios and the Shenmue series (no fantastical elements, but yes gangster-movie elements)
Night In The Woods (not just that it stars funny animal people, but also it eventually has a supernatural turn)
Papers, Please (famously gamifies mundanity and making ends meet, but in a fully fictional context that blossoms into a pulpy "join the resistance" thriller)