Feeling frustrated because an art form/medium shows examples of truly lacklustre, abominable 'shit' is bound to happen with EVERY entertainment medium out there. Films, Video Games, Books, there are prime examples of bad creations in each, and you'd be retarded to deny this. In fact, every time I think of 'Twilight' I want to kill something. But, as you stated, there are GOOD Anime, very good anime, anime that have inspired and enlightened me and shown what the industry is capable of. To me, anime is one of the finest forms of escapism ever devised, and some of it is truly eye-wateringly beautiful (Spirited Away and The Girl Who Leapt Through Time). You just have to accept that shit animes exist and look for the better ones. To be put off completely because Naruto exists is pitiful.
I'd suggest trying some intelligent anime. Ones that are as depressing as they are funny, and poignant, profound and enlightening as they are lighthearted and care-free. You can't go wrong with Akira, GITS, Paprika, Tokyo Godfathers etc but there are series that are admirable.
Try these: Welcome to the N.H.K. (you won't find a better analysis of anime and otakus as a negative conception than in this), Higurashi No Naku Koro Ni (an intelligent, terrifying and engaging series, with a superb story) and Lucky Star (don't shoot the messanger for this, but it's an experimental anime that reflects the work of Kevin Smith and Mumblecore films - it's simply girls talking about general topics, but it's so funny and so witty that it's hard not to like it). Obviously, you can tell I like anime, but I generally don't like watching crap. Who does, anyway? Are films deplorable because Epic Movie exists? No. There are great films out there! Same applies to anime. It just takes a little exploration.