Most servo's will mechanically go through 180 degrees of motion, you could probably get more out of them but you'd have to modify the potentiometer. Servo's can be modified for 360 degree rotation, but they become speed controlled motors at that point there position can't be controlled anymore, only the direction and speed.
You have to keep in mind though most simply hobby servos use pulse stretchers to translate the incoming servo pulses into the pulses that the motors actually get, the 1ms to 2ms standard servo signal should give you 45 degree's of movement either side of center, pulses less than 1ms and greater than 2ms will give you the 180 degrees however this can cause the servo to tweak out of the internal pulse stretcher signal overlap, which can occur depending on the rate you send the servo signal pulses. There's a lot of variability though because there are no real standards for hobby servo's, just conventions.