The Himalayas are rising--as many people have heard. What other mountain ranges are still rising at a rate faster than they are being worn down by erosion?
Anywhere on the planet where there is plate convergence probably has rising mountains, even in the ocean where there is back-arc volcanism, although the mountain building may be out of sight from the sea floor. So that includes all of the Andes, much of the European Alps, New Guinea and Indonesia. But there is not much happening in Africa or Australia.