If I can only live in a world with one or the other then it would have to be video games.
Anime is great but I play and think about video games "A LOT".
6 games everyone should play of the top of my head since you asked for recommendations:
- Metal Gear Solid
- Shadow of the Colossus
- Super Mario Galaxy
- The Legend of Zelda: The Wind Waker
- Persona 4