Not every game asks for the same kind of attention. A puzzle may give you space to think through a move; an action game may ask you to react as a situation changes.
Racing games offer another direction, with courses and driving challenges to explore. Card and board games can bring familiar structures and decisions to a screen. Each title has its own rules and controls.
There is no single right place to begin. Pick a category that sounds interesting, read the game details and try a different collection when you want a change.