Well... arguably all I play are RPGs... just, is a matter of defining the usage of the word "role." In all of my games I am playing some kind of "role," but in most of my games I'm really just playing some extension of myself, doing the things that I find amusing or entertaining, so with those games, maybe I'm not actually playing a role so much as dealing with straight insertion fantasy?
Rune Factory 4, very recently, playing a lot of that, but even with the character saying his own things and being his own "personality" there isn't much personality within the character at all, and all his actions and choices are mine to make. Anything Bethesda, same thing, except even worse as my character actually doesn't talk deliberately to imply that my voice is the one that's saying the choices I make, as well as being first person to imply my eyes are the things directly looking at the world. Being directly inserted into that character helps with this kind of experience.
Something like... well, every Final Fantasy, that's not me by any stretch, I'm actually playing the role of someone (or something) else, and the only real "choice" I have in most of those is with combat and equipment for purpose of strategy. This is something a lot of people associate as a role-playing-game, right out the gate, without even arguing. At this point someone might argue these kinds of games are more battle-oriented strategy games with strong story attached to them.
Pen-and-paper ... that one is a bit of both. I have my choices, my words, my actions, etc, but they also aren't me, because they are this character that I have created, but maybe I'm just playing some facet of myself in a different reality.
Legend of Zelda, Final Fantasy, Skyrim...
I find that, outside of looking online with an understanding of what other people mean, that something like "RPG" doesn't help me very much. So if I'm looking for something similar to FF, I'll search JRPG, because, in my society, that has a very particular connotation to it. For Skyrim, WRPG, and for Rune Factory 4, that one is a "Life Simulator."
Even as I categorize my video games (especially via Steam) I find myself adding some form of extra qualifier to the "RPG" category, simply because, well, Skyrim isn't like Recetear at all, they are very different experiences that do very different things. They are both "RPGs," but I would also call Recetear a dungeon crawler, much like I would Legend of Grimrock .. and even those two games still need a an extra qualifier to separate them.