To capture a sharp subject with blurred background you want three things:
1) Close focusing distance to the subject & distant background
2) Low focal ratio
3) Long focal length lens
Taking these one at a time...
#1 If the subject and background are both at nearly the same difference then you wont see much difference in focus quality. Placing subjects up against a wall, etc. means the wall wont be very blurred. You want the background the camera lens to adjust for a close focusing distance and this throws the distant background out of focus.
#2 What qualifies as a "low" focal ratio really depends on the focal length of the lens. For typically lenses this means f/2.8 or lower (e.g. f/2, f/1.4). But with long lenses you can get away with higher focal ratios. I often shoot at f/4 using a 200mm lens and the background has a nice amount of blur -- but that only works because it's a long focal length. You wouldn't get much blur using f/4 at say... 50mm.
#3 Long focal lengths really help a lot. I have a 14mm f/2.8 lens and with that lens, I can basically focus to about 3' and the whole world is focused -- even at f/2.8. This is because short focal lengths create much larger depth of field and prevent you from creating anything which is substantially out of focus.
If you want strong out of focus blur... then an 85mm f/1.8 lens would be a great choice. I have a 135mm f/2 which is fantastic for blur... but the caveat is that 135mm is long enough that you'll need a fair bit of distance between you and the subject to fit them into the frame (not a good choice for indoor shots.)
One other caveat is that when you use thin depth of field, you'll need to be careful not to be TOO thin. You can find yourself in the situation where if you're shooting a couple (instead of a single person) that it becomes difficult to get both people in sharp focus.