I know a few furries, and occasionally visit clean and unclean furry sites, because some, SOME of them have a style that I really like.
The reason I like anthropomorphic animals though stems from my interest in mythical beasts. Minotaurs, werewolves (and other lycanthropes), ogres and the like. Specifically, I am attracted to the idea of primal strength and unbridled ferocity. The theme of "Nature's Wrath" seems exceptionally prevalent in some furry art, and by Balinor's grace I love it.
That having been said, I do get pissed off when members of the furry fandom wax on about being "fursecuted" and try to pass off their sexual deviancy as a lifestyle. But I feel that way about any group of people who behave the same way, such as gays, transgenders, necrophiliacs, NAMBLA, etc...
On the other side of that coin, though, I also get mighty pissed off at detractors of the subculture who claim that it's a bunch of hyper-sexual deviants engaging in truly abominable practices, or just a bunch of freaks in mascot uniforms humping each other. But I feel that way about detractors of any group of people who use over-exaggerated assumptions as an excuse.
And even if the current furry subculture on the internet got its start from rule 34 of Disney's Robin Hood or Sonic the Hedgehog, it's certainly evolved past that point and become a true subculture distinct from the fetish that spawned it. If anything, it currently resembles a cross between therianthropy and the aforementioned rule 34, with most members probably falling right square in the middle.
My opinion on the fetish itself is simple: it doesn't contain any of the things I am repulsed by, and isn't bothersome to others. Which means it's totally fine by me.