There are plenty of games up to the PS3 era that every kid would do well to play at least once. Stuff that is objectively good, that aged well, or close enough.
The problem, as I see it, is that if they get too used to mobile games, they won't have the patience for typical console or PC games, because those, on average, aren't dopamine dispensers and won't be rewarding every second click or button press - more importantly, they should NOT nag the player with cash shops.
Also important: limit the amount of games available - this is valid both for current and retro games. The moment you have "all the games" at your disposal, several things kick in: analysis paralysis, appeal to familiarity (will only play what you already know or someone knows), seeing no value in the games^[If, when you were small, you only had a limited selection of games, which was common during the cartridge era, you would be very careful with choosing new games to ask your parents to buy, though renting was an option to see which ones were good or not. You had to make do with the little you had. When you got bored with one, you either looked through your collection and played something else, or did something else entirely; you never threw away a game (unless it really sucked) and you never got a new game on a whim. That is good.].
Others mentioned the social aspect, which is true as well and something they just can't experience nowadays anymore. Minecraft and Roblox are famous because they're easy for kids to pick and play with friends. Back in our days, we had to physically sit beside one another and play together, or pass the controller on death; we also physically lent and traded games, so the games also had value within our little social circles. While fully digital games are extremely convenient, the "scarcity" gave them a social value that they completely lack today and which I suppose boardgames now fill out (yes, you can play them online, but playing on an actual table is almost always better)
