I don't think it is of much use to give these three binoculars an overall ranking. They each have their strengths and weaknesses depending on the conditions of use and the desires of the user.
Optically (contrast, size of sweet spot) the SE is tops, followed very closely by the EII. If one needs long eye relief, the SE and LX are best. For wide FOV, the EII is best. The LX is fully waterproof, the SE quite well sealed against most showers, and the EII less so. The SE and LX are more rugged than the EII. The "hang" of all three is miserable. The focus of all three stiffens in the cold, though the LX perhaps fares best.
If I were considering buying one of these as part of a collection, I'd be most attracted to the SE and EII because they are among the optically best 8x30/32 binos ever made. If I were buying an 8x32 exclusively for birding, for which I demand superb optics, but also superb handling and high durability, I'd pass over the LX (too heavy, too much CA, poor hang, and Nikon has durability issues with eyecups and armor in this line), keep saving up, and get the Zeiss 8x32 FL, Leica 8X32 Ultravid HD, or, if being compact was not a primary consideration in my decision to get an 8x32, the Swarovski 8x32 EL.
--AP