Not really much of a gamer anymore. But I used to be. If I had more free time (and wasn't about to lose most of my free time) then maybe I'd enjoy getting back into some of that. There were a lot of games that I enjoyed, but a few that stand out are: (1). Donkey Kong 64, which was a gloriously lengthy adventure in solo play (2). Super Smash Bros 64 and Brawl (3). Age of Empires II, which had this game-modding feature that you could spend hours playing around with (4). Pokemon Mystery Dungeon gens I and II (everything past that was garbage) 5. The Megaman Star Force series for the Nintendo DS, which in many respects was revolutionary for its time and a blast to play through (6). The main title Pokemon series, though I never finished gens IV or VII and possibly III. I particularly enjoyed V and II, in retrospect. (7) Tony Hawk 64 (8) Fire Emblem: Awakening was something that I only played through once but it had a fairly memorable soundtrack, among other things. It left somewhat of a lasting impression on me and I get nostalgic thinking about it. (9) Kid Icarus: Uprising, which was I think the first game I got for the 3DS, though it doesn't have great replay value and I never did the Wi-Fi multiplayer for that.
If this definition includes board or card games, I'm not big on those either (and never was, unlike video games), but I was usually up for a good game of monopoly or Settlers of Catan, or perhaps Blokus. Anything where you get to "take over" stuff or part of the board, though my mom usually had to make me play because of course I would much rather just be on the internet instead. She made me play no small amount of Munchkins too when my sister brought it over. Hated that game, though I usually liked it well enough once we were deep into it. Getting started was always the hard part. It had to have been like pulling teeth. We also had a "Harry Potter Clue" boardset that we played a few times on and that was neat.
My brother once fashioned this Pokemon game out of playing cards and that was pretty cool too. We only played that a few times, but I distinctly remember an absurd amount of life points could be lost if a Parasect was attacked by a Moltres (yeah, it was kind of Yu-Gi-Oh based).
In terms of physical, I always hated sports (with the semi-exception of soccer) but we used to play Capture the Flag at the park and I always had a great time being part of that. The teams were pretty large, and so was the park, which is the only way to go with a game like that. One time I intentionally betrayed my team, grabbed the flag which I was supposed to guard, and ran to the other end. I knew exactly what I was doing, but I don't quite remember what my motivation was.