Planet Influence

There's nothing in the civ manager, but you can get an individual planet's ranking in that planet's Details screen.

The amount of influence a planet generates is shown as Influence (ip) in the context panel when you select a planet on the map, and on the planet screen. There is no influence sort in the planet list or the civ manager, but if you go to the details sub-screen in the planet screen, you can see how the planet ranks (in influence and in other stats) in your civ and in the galaxy as a whole.