Radlands - my personal favourite 2 player game. Tower defence with cards. Design a mix of borderlands meets Mad Max

Aeons end - not two players but works really well at 2. coop card game against a nemesis. Multiple expansions available. Many characters and card combinations. This game is a close second in my two player list.

Shadows of Kyoto - a game from emporers4, and I have to admit I like their games. Two player slightly asymmetrical trying to get your spy to your opponent site or try to catch their spy.

Hanamikoji - trying to get the favours on the right site with only four possible turns. Kosmos has it too, and it is language independent, no need to get it from Taiwan if you have better access through them. Geisha‘s road is pretty similar.

Shottentotten - name could be more sensible but a quick to learn Poker with multiple games one plays at the same time