Basically, I consider immersive games character driven narratives that make the character feel like the exist with the world of the game. In general, this requires a great concept, great acting (if any), great writing and graphics solid enough to not detract from the previously mentioned elements. Even though they don't follow statement, simulators and racing games obviously count too. Games categories I would exclude from this entirely (or almost) are mobile games, puzzle games, fighting games, casual games, mmorts, and trivia games. Obviously there are exceptions.
I agree with all of that. But surely then you can't really see a problem with what I said? Would anybody really buy Oculus Rift to play mobile, puzzle or fighting games, or perhaps chat with their friends in some new, quirky and unnecessary way?
We could argue about what makes a game great (certainly not simply being an AAA title), but let me make an example. Casual games such as the types you listed are like watching a sitcom, as opposed to playing immersive games is like watching a movie (often a much broader and longer experience however, so in that sense it's rather like reading a good book)
Some people like easy entertainment, and that's fine. But those type of games are of a completely different depth of entertainment. If you had those type of games on a virtual reality platform, what you'd essentially have would be a bag of gimmicks nobody would remember a month later. AAA's will jump the gimmick train as well, I'm sure - but regardless, Rift has great potential for serious games which I'll continue to hope they'll actually get to use.