These topics are always interesting. There are many people, even vastly experienced fragrance collectors, who choose to pay no attention to categories whatsoever. Personally, I try to just keep them in the back of my mind, but I never let a so called category define what I smell. Now getting into definitions, you're right that these are all summer appropriate, but obviously fragrances aren't manufactured to be seasonal. I'd say that citruses, aquatics, and greens are subcategories of the "fresh" category. And I generally think of sport scents as just lighter versions of their original counterparts. In my mind, the breakdown works something like this:
Aquatic- I can't really describe what notes make up the marine scent. According to wikipedia, it's a chemical called "calone". I think of scents like Bond Coney Island, Cool Water (GIT), Bulgari Aqva, CK One.
Green- I'm not sure if this is correct, but my mind jumps to vetiver. Apparently, there's also a resin called "galbanum" that's used a lot in greens. I also think of florals being combined with fruit notes.
Citruses- These are the most obvious to me. I think of Dolce and Gabbana Light Blue for Women (which also has that pear-peach opening), Bergamote 22 (obviously), pretty much anything with a sharp bergamote/grapefruit/orange opening.
Let's see, I'd stick Un Jardin Sur le Nil somewhere between citrus and aquatic. I'd personally think of Philosykos as green, though I think there's also something of a woody element.
Just my ideas. Don't quote me!