This probably won't come as a surprise, considering: I love TAS. I mean, Star Trek, animation, an anthropomorphic character, buckets of frequently wild imagination; resistance was futile.
It's the imagination I love the most about TAS. Animation is freedom, the freedom to go anywhere you can conjure up, and TAS took that and ran with it. It certainly took "strange new worlds, new life and new civilisations" far beyond what any other incarnation of Trek I've seen was able or willing to. It's arguably the Trek most true to the opening speech we can all likely recite word-for-word, and I for one think it deserves serious credit for that.
I might even go so far as to say it's the best encapsulation of why I love Trek in general. It's all about the possibilities.