What games can be

Perhaps I should state more specifically what I look for in games and what I see in them.

I believe that games can be more than simply aiming to be "fun".
There is no clear definition of fun as there is no clear definition of art.
Whenever I read about a game that is fun, I think in my mind that the writer actually meant playful. A game is playful when it is firstly accessible in its premise, no hidden messages to be found, the controls are quick and responsive, little long term consequence. Everything simply reacts instantly, you get immediate and a lot of the time over the top response from, let's say, shooting a combustible barrel. It explodes. Quick and easy.