Let's start with a definition for a game:
"A game is a structured or semi-structured, contrived recreational activity, usually undertaken for enjoyment (although sometimes for physical or vocational training). A goal that the players try to reach and a set of rules concerning what the players can or cannot do create the challenge and structure in a game, and are thus central to its definition." (via Wikipedia
I'm going to build on this by stating:
All games involve at minimum: Chance or Challenge (mental or physical)
All games are covered by this definition - including gambling and sports. Activities without goals, a set of rules, and chance or challenge -- are not games. For example, according to Will Wright, his Sim City is not a game at all, but a toy. Running around outside is not a game. Tag is a game.
Now, let's look at Roleplaying games. How many are actually games, and how many are something else entirely. Which do you consider to have all the requirements for a game -- goals, rules, and chance or challenge? Which do you think are not games at all, but rather toys or play, with which you might be able to play a game.*
* This of course transfers the need for creating goals and rules to others, such as the group playing the "game".
Interestingly enough, when you look at Wizards of the Coast's What is D&D
page... it's not entirely clear what the goal is. Does this mean it's not a game at all?
So... which are the roleplaying games
... and which are just roleplaying?