I would recommend micro macro
boardgames
Everything boardgames
Please stick to English for posts and comments
One my favouit 2 player boardgames is Hallali (Not sure if it has a diferent wnglish titel). It is a fantastic game with a big strategy part, but also some luck.
I love 2 player games and the vast majority of my plays are with 2 players. My top recommendations are:
Azul—plays 2-4 players, and I love it with 2. Tile placement in patterns. Quick to learn and plays fairly quickly as well
Beer and Bread—you are playing as 2 rival towns using the same ingredients to make a variety of beers and breads. At the end of the game, your final score is whichever of the 2 is lower between beer or bread. A slightly longer time to learn than Azul, but still plays in under an hour
Splendor Duel—a tableau builder —you’re collecting gems to buy cards that count like permanent gems in your hand. Time to learn and play falls between the other 2, in my experience
I think out of those, splendor duel is the best one. We play it a lot for a quick session. While Azul is fine and easy to learn, it is kinda heavy on math if you want to be good.
The great thing about Azul is that it works well at all player levels. For beginners it's easy to teach, it has great table presence and you can have a lot of fun playing it completely casually. For experienced players it can turn into a cutthroat duel of probability calculations and mind games.
Catan Duell/ the cardgame. Great Strategy game.
Claim, a trick taking card game. Easy to learn, but difficult to master the tactics. Has many extensions.
Jekyll vs Hide, another trick taking card game. Twist is the players have different goals. Jekyll wants balance meaning both sides win equally, while Hide wants to win either none or all of them.
Otherwise I second Azul, Hanamikoji and 7 Wonders Duel that were mentioned already
Patchwork! Nicely balanced and very replayable. Out quilt your opponent!
I agree that patchwork is a good simple 2-player and the theme is kinda funny but man did I think that game was boring. We played two times and now its collecting dust.