Conan loves to play games. He frequently beats adults at Uno, Connect 4, and Memory. He loves Sorry, War and Chutes & Ladders. He learns rules quickly, understands taking turns and scoring points, and he can plan and pull off simple two turn strategies to set himself up for a win.
Recently we got a game called Blood Bowl, which, simply put, is a card game where monsters* play football. According to the box, it's for ages 14+. It's quite complicated, with several decks and a gazillion little chits and tokens. Naturally, Conan really really wanted to play it. So they set it up and played.
Conan loved it. It took nearly an hour to play, which is an eternity in 4 year old time. He keeps asking when we can play again.
*Yes, I know that Warhammer is a lot more than monsters, but I had to sum it up in one word from a 4-year-olds vocabulary, Ok?