There are a ton of 'real time rpg' on the PC, but I'm not quite sure if that's what you're looking for or not. Regardless, one you might enjoy is:
Jade Empire. Not the best of Bioware's games... actually I think it's the worst of theirs. But even the worst game by Bioware is still better than the best from almost any other developer out there, so you can be guaranteed it's high quality stuff. The reason I suggest this first is because it's heavily Asian themed. Taking place is a mythical land that plays like a blend of Japan and China. The combat, while not great, is also a decent twist on the fighting game genre so it's easy to pick up and enjoy. All real time, of course.
Basically it makes for a great intro game to the genre. Easy to get into, fun real-time combat, interesting story and characters, etc. Perfect! It's also available on the Xbox if your PC isn't quite up to the challenge of playing any games.
And if you enjoy that you can move deeper into the library of wrpg's. Mass Effect for example, or The Witcher, or Gothic, Risen, and Vampire: Bloodlines among others. That's not even counting action rpg's like Diablo and Titan Quest and Fate and Sacrifice and who knows how many others...
All of those are real-time.
But for now I'd say start with Jade Empire if you've never played it, good intro game and if ya enjoy it you'll know you're on the path towards a whole library of other games you'll then be sure to enjoy.