As I recall, The Phantom Menace got a pretty crappy conversion to 3D. It did not add anything. It only made it more difficult to see what was going on.
What I remember the most from the movie was actually an annoying blurry grey bar obscuring most of the action in one shot. Because the bar was in the foreground and not the interest of the scene it was made to look out of focus. But the blur radius was so large that it got all of the attention.
Conversions done afterwards seldom work. Shots have to be designed for 3D in the first place.