I don't really care, too much. I do enjoy anime's that build strong relations with the characters, though. Which is mainly why I enjoyed the Dragonball franchise.
I'm sort of debating watching any of these:
Basilisk
Mushi-shi
Fruits Basket
Soul Eater
Elfen-Lied
If you or anyone could give your opinion without spoilers on those, or suggest a different anime, it would be appreciated. ^.^
On another note, I've begun to think that it's easier to transition from series to series by watching a movie or two in between to get the previous series' world/characters out of your head. I should have watched it sooner, but I just watched 'The Girl Who Leapt Through Time' and i really liked it. It was just an average movie for the longest time, but that was expected from it being about 1hr and 40m.