It really depends. An oft-made mistake, the way I see it, is that people confuse systems that are based on role playing with games that encourage role playing and even more so, they confuse role playing with story telling. There are a number of system, some which were mentioned here, which are based on role playing. The system has set rewards for role playing, stats for role playing... etc. However, I find that those types of systems generally get in the way of certain "types" of role playing because of their more advanced rules when it comes to "role playing". If you have a great number of ability scores(or stats, or however you wish to call'em) that influence how your personality should be, how convincing you are... etc then it is very hard for a character to actually develop and it is very hard for you to feel "immersed" in a conversation when you are constantly rolling to see how the conversation is going, and your own words have little effect on it. Personally, I have managed to play 2 campaigns ( one of them a one shot and one of them and ongoing campaign ) with a system that has nothing to do with role-playing almost at all. And I find that those kind of systems are best for role-playing, because the possibilities on what your characters can say and how NPCs will react are, not endless but very diversified. But then again, the way I do campaigns I never really have a "story", I simply have PC's that travel trough a world filled with characters that I create and whether or not they interact with them and what they say to them is their own choice. There are other types of RP-ing, one which seems to be very popular among certain site members here is "collaborative story telling", others are simply based around a GM telling a story and the PCs walking through it... A system "good" for role-playing really depends on how you define role playing and on your players. A system might be great for what you intend to do, but if it has to low of a pace for your players to be interested then it would be better going with a worse one, on the opposite side of the coin, if your players enjoy to theorycraft and powergame certain things then maybe some systems are not complex enough for them. I am of the strong belief that you need to give more details for people to recommend systems that could suit you, the 3 phrases you wrote until now don't make a very good job of explaining, at least to me, what exactly you are looking for. Maybe give an example of game that you saw and though was alike something you want to play, maybe look trough some systems and tell us the elements you dislike and the ones you like and people could help you find a better system ( which contains the elements you liked in the previous one and discards the one you didn't).