TechnoI concur
Lisa M. Simpson and CC, it's a bit hard to admit, but seeing Lisa suffering, no matter what the reason is, makes her personality more real, alive to the fans. That's why the most realistic and vivid Lisa stories are the most angsty. Child of Darkness, Gently, Lisa Fitzgerald... in certain scenes, Lisa suffers a lot there. I'm not talking about the mentioned Round Robin, it can be called even "sadistic" in places IMHO. If Lisa was real, she'd probably disapprove such kind of treatment, but on the other side, if she was real, there would be no need in such stories... We all see Lisa in the show, handling everyday situations with ease - and fanfiction shows us her from completely different angle, reveals us something we would never see otherwise. So I can understand what you mean.
And answering your initial question -
Are there moments you like more than others?
Tough question, I'd come with moments when Lisa spends time with her family, especially Marge and Maggie (e.g. needle-working on the family counterpane, babysitting with her sis). Also, when Bart is being nice to her, but that happens extremely rare, so nothing to worry about.

What else? When Lisa is singing, she has a beautiful voice, when she's angry and fumes, when she's being evil. Hope that's enough for a start.
