We already have Carcassonne, and it’s one of our favourite! Don’t know why we didn’t play it last week 😀 (Offtopic, but if you play videogames, I am currently playing Carto, which uses Carcassonne’s gameplay, and adds further puzzles and story to it. Highly recommended!)
Other than those we also have Dominion, Lost Cities, Dungeon Mayhem and Point Salad. Though I have been thinking about getting my kid a bit into D&D. He loves video games, so I believe it should attract him. Just having trouble figuring out how to start, specially since my wife isn’t a big gamer, and I don’t know how she will feel about goblins and orcs.
How is Gloomhaven, for kids (and non-gamers adults)? Just read about it, and seem like a good first step (but an extensive one) into Dungeon Crawling, without going full D&D. Though that is just by reading few snippets, I haven’t even begun the research into it yet. So, I could be completely wrong about it.
Not counting Gloomhaven, Munchkin is next on my wishlist, but that too needs a little bit more research.