Genres are pretty dumb anyway. Most every game ever made is and action game and an adventure game. Anything that has stuff performing actions, or at least actions you might see in an action movie (sword fights, car chases, or just jumping really high) is arguably and action game. An adventure game would be anything that has an adventure in it, basically any game with a story.
Turn based RPGs are most certainly strategy games, the battles are all about strategies over other aspects like reflexes or some kind of skill. Today's RPGs aren't really RPGs at all from the old standard. A role playing game is a game wherein you play a role and have considerable control over that character's actions and how those actions affect the story. In that way something like Infamous is much more of an RPG than Final Fantasy VII. FF7 always ends the same way, no matter how you play your roles.
Anyway, genres are stupid. In movies, westerns are a genre. Why don't other historical periods have their own genres? Though I think movie genres are a bit more subjective than game genres.
"Now, a fun game should always be easy to understand - you should be able to take one look at it and know what you have to do straight away. It should be so well constructed that you can tell at a glance what your goal is and, even if you don’t succeed, you’ll blame yourself rather than the game. Moreover, the people standing around watching the game have also got to be able to enjoy it." - Shiggy
