Katamino Deluxe and Quarto are lovely 2-player games that are competitive, but with easy rules, and they look nice on a coffee table. The Sherlock Holmes and Chronicles of Crime games are both collections of crimes that you need to work together to solve. They're great for mystery fans, and can be a fun date night activity. Along similar lines are the "escape room" puzzle games in the Unlock series. If your newlyweds enjoy playing somewhat more complicated strategy games, you could go with something new-ish and pretty, like Isle of Cats, Parks, or Renature. And finally, if you're thinking more along the lines of a fun party game that's good to play with a larger group of people, I'd recommend Anomia Party Box, Concept, or Wavelength.