Yes, games are all the things you mentioned and much more. It's a matter of perspective and the particular game. Some games are all those things and some are none of them.
One way that games can often differ from other forms of entertainment in that you can feel a sense of accomplishment from them. That makes the brain feel good. If you don't have much feelings of accomplishment in the rest of your life I suppose you could look at it as a kind of therapy or maybe just an escape or avoidance. Of course those brain rewards also have the potential to make it a bit addictive and self destructive in the worst cases. Yes and of course some games, like Clash of Clans, deliberately exploit this mechanism of games as much as possible in order to make more money.
This may all seem a bit obvious to some but it's just one more perspective on games that I have found helpful especially in the case of compulsive gaming. It can help to honestly ask yourself before playing a game, "why do I want to play this game?".