The adventure aspect is by far the most vital part of a memorable video game experience. Great stories can be found in books and movies, but only a video game is able to deliver an experience where the player is able to immerse himself and take control of how exactly a story plays out.
Notable games include The Legend of Zelda: Ocarina of Time, The Elder Scrolls V: Skyrim, Halo: Combat Evolved, Star Wars: Knights of the Old Republic and the Pokémon series.