What have you seen that's anime?
Have you seen Ghost in the Shell, Steins;Gate, FMA Brotherhood, Any Ghibli Movie, The Tatami Galaxy, Haibane Renmei, Serial Experiments Lain, Neon Genesis Evangelion, Clannad, Grave of Fireflies, Mushishi, Trigun, Cowboy Bebop, Boys on the Slope, Gintama, Code Geass, Wolf Children, The Melancholy of Haruhi Suzumiya, Fate/ Zero, Madoka Magica, Usagi Drop, or Physcho-Pass?
If the answer is no, then you cannot judge. You simply haven't seen good anime.
If you're talking about the Moe (large eyes, etc) art style, not all shows use it. Anime has it's cliches and sides of it that not everyone may like, but then again so does North American media and really media from any country. Judging a show based on aesthetics is really wrong, especially considering some of the best animation I've seen is from anime.