I always liked Kahuna. Quick to set up. Easy to explain even to casual gamers. Has a lot more depth than it appears at first glance.

If you want to go with the classics, the only form of Chess I enjoy is Xiangqi. It's a faster-moving and more dynamic game than International Chess, but if you're good at the latter the skills, after you get past a few little "gotchas", transfer well to this. Related (very distantly: it's more closely related to Stratego in that it inherits from the same parent) is Junqi, though you'll want to play the refereed version (either a human referee or the various mechanical/electronic referee systems out there) for the most enjoyment.

For card games, well in traditional cards there's (literally) hundreds of choices, perhaps thousands. For commercial card games I really liked the Star Realms series of games when I got them.