I regularly play Pen and Paper RPGs, both "old" systems (D&D) and New systems(Savage Worlds, Dresden Files). They each have their strengths and weaknesses, but I've had fun with all the systems I've tried.
I've not explored the world of playing Pen and Paper RPGs online though I know those forums exist, I just meet up with my friends and we play. But I'll see what I can find, again, I can't say whether or not any of the pages I link to are good, I haven't used them myself.
There's a system called "Open RPG" where you can create a visual representation of an RPG and lead characters through complex maps while chatting in a sort of Private chat room sort of situation.
There's also "Fantasy Grounds" a very nice looking system.
And like I said there are plenty of places that I've heard of that are online forums or e-mail banks where players can all play together while not actually being in the same room, sadly I am not seeming to find them and can't provide links. Sorry.
If you want to play a Table Top RPG without the computer, you can go to your local Board Game Store or Comic Book Shop and see if there's a local group that plays that's looking for new players. You can also check out Meetup.com and search for RPG Players or D&D and see what's available in your area.
I suggest finding a local game group because that's how I've made some of my closest friends. Since we're all nerds and like to play RPGs together we've also found that we love to do other things together like watch MST3K or play Board Games. Again, that's my personal choice and you might be better at the computer RPG thing.
I hope this can help point you in a helpful direction.