Board games taught me to find the game within the game. There's usually a much smaller game idea hidden within. Within board games, Kingdom Builder for example is a game about point efficiency. Ticket to Ride is a game about risk pacing. And Terraforming Mars is a game about strategic synergizing. Avalon/The Resistance taught me what my tells are when I'm lying.

Video games taught me different things. Disco Elysium taught me that I can try out ideas and see how they feel. Papers Please taught me that I can choose not to follow the rules. Roguelikes/DF taught me the art and fun of story sifting.