Certainly just a light "cyberfuturistic" vibe to a small degree, but I get this with second generation Pokémon games. I always loved the PokéGear and how it felt like a sort of smartwatch/phone all-in-one gadget, and early Pokémon always had that "science in harmony with nature" vibe to me.
Digimon did it even more of course, but I've never played any of the Digimon World games, only the later ones.
Megaman Battle Network comes to mind also. I always really liked old interpretations of the internet as a "real place".