naidje

Jaipur is a good fun little card game. Worth looking at co-op games too like codenames duet or pandemic because they tend to be a bit more fun with two players imo esp if there's a skill gap.

I really enjoy Merchants and Marauders - great little pirate board game, different ways to play, some great difficulty customizations included in the expansion (worth it), and a few really good homebrew expansions/rules on that one board game site that spices it up later in its life as well.

Dice Forge!

Lost cities, Lacuna, and Patchwork are all amazing two players. I also love Twilight struggle but if the theme and the weight doesn't click for you I'd understand

Agricola: All Creatures Big and Small is one of my favs. A little hard to find now-a-days unfortunately.

Competitive:

Either Android: Netrunner, The King is Dead 2E, or Summoner Wars 2E.

Cooperative:

Earthborne Rangers (highly recommended) :D