In my experience as a gamer, RPGs are hard find. Good RPGs are an even rarer find. So in no particular order, I will list all the good RPGs I've played or heard mentioned enough to have some merit.
1. Kingdom Hearts
Kingdom Hearts is a great game to play especially if you like Disney and a complex storyline that leaves you with more questions than answers by end of it. The way the story is told is compelling and only starts to make sense after a good majority of the games are played. If you are going to play this make sure you do NOT skip the smaller installments. This shouldn't be a problem as the KH franchise releases games on multiple platforms then remaster them into one game on a single platform.
2. Tales of Graces f
Tales of Graces f, like most Tales games, has a solid storyline and the character personalities are wide-ranging. One of my favorite aspects of the game is the large move pool available and the amount of playable characters.
3. SpongeBob Battle of Bikini Bottom
If you can get past the fact that it is SpongeBob (though I don't know why you would want to), this is a great game. Even if you are a hardcore gamer there are parts you will probably get stuck on for a bit, but just enough not to discourage a person from continuing on in the story.
4. Final Fantasy VII
I personally have very little experience with the Final Fantasy franchise save its relation to Kingdom Hearts. But, this installment of the series has been mentioned a lot in particular and recommended to me enough times that I put it on the list. If you aren't aware, there is a remastered version of this game coming out soon. My knowledge on it is very limited but it is significantly less lighthearted than the other games listed previously and is more for less casual players than anybody else.
Why these games are a great starter pack is due to the wide variety of categories they hit and most of them being big titles in their genre. With big titles, people will generally find that the games are geared to catering to all different players ranging from casual to hardcore.