Probably the biggest thing about the anime in regards to connection with the games is how Ash always went through each of the six main series regions to get all 8 of the badges featured in the games to be eligible to go to the Pokémon League. (Never mind, though that Gary had a lot more badges in Kanto than Ash, most of which weren't even featured in the main Generation I games.) The buck stops with going to the League, though, as the conference format seen in the anime isn't implemented in the main series games.