This took me a long time to think about, but I think if I had to pick one genre... it'd be adventure games. So action and adventure have quite a lot of overlap but I choose Adventure because of its focus on exploration of places and is likely to have puzzle elements, while action is about reaction in cases like fighting games, quick time events and the like, which again can overlap with adventure quite a bit. But the thing about adventure is, it can cover platforming, sometimes it can cover racing and over genres as extra little things that the adventure can encompass. Adventure games can still offer variety where it makes sense while still being exactly what it is, an adventure, usually story-driven which isn't always necessary but usually tends to be, with puzzle elements to figure out to progress, and if there's an overlap with other genres, then neat!