Is it possible to max out every type of social link? I managed "Girl at the Shrine", "Team Manager" "Old Couple at the Bookstore" (might have gotten that title wrong), "Classmate" "Art Club" and...uh...whatever that athelete with the bad knee was. I figure that some, like Yukari or Fuuka, would require second play since there's little chance of maxing out charm/courage and still have enough time to reach level ten.
"...Raggle Fraggle."
Yeah, it's entirely possible to max them all out, but it doesn't leave a lot of room for any kind of free time ingame to do so. Go to GAMEFAQS, and they have guides for doing so on the first playthrough.
"The Crow" is the best "Comic book/graphic novel" movie. It's true.
It's very difficult to max all social links in a single playthrough, but it is possible.
In my first complete playthrough I only left 4 social links unfinished.
Music club, Fashion club, Chihiro and - unfortunately - Aigis'. I was trying to finish Mitsuru's during January, so I couldn't finish Aigis'.