Rummikub always works, as there’s a good chance you both will be interested in it and it’s a game that’s still good with only two people.
If you want my suggestion, forget the typical games that you find in Toys R’ Us and haven’t changed since the 60s. Go to Barnes and Noble and look in the “Strategy Games” section. Lots of really cool stuff that’s also a lot of fun to play.
One of my favorites is Forbidden Island which is fun because you have to work together to beat the game and the proverbial clock by finding treasures before the island sinks. It’s similar to another game (which I haven’t played) called Pandemic where you have to travel around the world curing diseases before everyone is infected.
Another cool (but expensive!) game is Agricola where each player has to manage a farm, including harvesting, livestock, a farmhouse and a family, and snatch up resources before the other players.
I’m also a fan of Carcassone which is kind of like a more fun version of dominoes.