In British English, you very seldom hear "taller than he"; "taller than he is" and "taller than him" are much more common.
If you were assessing the relative height of two women, for instance, for some mysterious purpose of your own, you might point at each in turn and say:
1. She's taller than her.
but it might strike onlookers as odd if you said:
2. She's taller than she.
MrP