Often you see journos describe a game as being 'about the feels' but like the npc meme come to life they only seem to mean "this subject matter was woke enough that i must attest that it promoted independent thought to remain in my local hivemind cluster". But all games should make you think, thats part of the exercise of the thing really.
But actually instilling emotional response? the reveal thing rather than what those robotic sociopaths think emotions are? Those are rare.
For me some examples would be:
>You start The Legend of Zelda the Wind Waker to see its the land from Ocarina of time you played through as a kid, but you weren't there and the world flooded and the dregs dont even remember what they lost. Because you failed them.
>Journey has you walking towards a mountain, as it goes on this is a trip to the afterlife from your grave. The game has some exciting highs and euphoric moments of great imagery and scale. But it really hits you as you creep up the mountain, freezing to death -its not revealed outright you are a ghost yet- and the camera pulls in, your character and screen ice over and it gets harder and harder to trudge and you are going 'come on, one more step, come on' and your character keels over and all seems lost before the rush of flying above the clouds like superman to dance through the wind to heaven as the orchestra goes to 120% ultimate climax mode
>Nier Automata has you go through 5 endings talking about the nature of life only for the finale about the true question, what makes it worth living at all. you fight the ending credits in a bullet hell schmup that is intentionally impossible. When it seems lost other players saves show up to fight and protect each other for the true ending and you can delete your save to send it to save others because the life/save is only worth something when its helping others or dying alone as memory on a finished game
>MGS3 ends with your mentor/lover lying below you in a field of flowers, your character aims a gun at her and is ordered to shoot. You can let the shot linger for hours and its up to the player to realise you have to press the r1 button, shooting her is your action to take and you cannot disobey.
>lost Odyssey stars an immortal looking for his daughter, midway through the game he finds her on her deathbed and he breaks down and weeps like no voice actor i have ever heard weep in a game performance and as the object of his search dies she tells him he isnt alone as the two bratty kids who joined the party much earlier are his grandchildren and as she dies the three of them all break down together.
They tend to only show up once or twice a console generation for me but not a one of them is some form of political soap boxing by writers with absolutely no place telling others how to think about politics or morality. They are personal gut punches that work because you care.
What games ever illicit an emotion beyond excitement or rage from your cold dead heart?