Adventure, that's probably why I like NTL games so much. I also played Leasure Suite Larry (When it was new and still funny). And a lot of other Sierra games. Good old days. So much fun....
That's why I loved games like the Artifact (Part I... III). And now they modern version Altered Destiny.
Boomershooters, immersive sims, RPGs and Pokémon. Pokémon has effectively become its own genre, since there are so few monster-catching games that define the space as strongly as it does.