I liked this better than the more schematic SISTERS OF THE GION. This story of an established geisha who takes on a younger one as a sort of apprentice has engaging characters and a quiet, low-key, intimate realism that's highly effective.
Since it's Mizoguchi, you know the direction, casting, lighting, sets, framing -- all the mise en scene -- are exquisitely sensitive and artistic. The acting is excellent, subtle and believable. Everything is "right", one might even say "perfect" -- an adjective one is tempted to apply to this director's work at its best. Every shot is beautifully, often breath-takingly conceived and executed.
The glimpses this film gives of the rigorous training and daily life of traditional geishas are a big plus that adds greatly to its interest.
Mizoguchi made poetry with a movie camera, and I would call A GEISHA one of his best films.