Anime sure affected me otherwise why I'm watching it.
You can always see others views on life. There are hidden messages but i can't be sure whether it was done intentionaly or not.
Lets take GSD as an example. War is the main plot there but look at their solution. Did they end the war? not really. Maybe they want ppl who watch it to think of it. If all countries tried to follow Orb's ideals where they accept both coordinator and ppl in earth then they might end the war. It might sound impossible but its better than saying conflicts exist and therefor we need weapons to get ready for any fight.
Anyway animes like these make me think too much on it.
Getting too much into animes might have negative sides....there are some ppl who really act as if they're in animes. Creepy..