Anabolic exercise is basically "muscle building exercise." Building muscles = strength training, essentially.
However, it doesn't mean bodybuilding exactly. You'd want to use enough weight, or enough aggression, that you pump certain muscles, and keep the body "straining." It promotes healthy bones, good posture, and strong muscles. And done correctly, won't result in huge, hard, manly muscles.  ;-)

But we've got a fair number of discussions on the how here already.  Yoga, HIIT, weight lifting, swimming, cycling, just got to dig.  ;-)
-Dianna