Anime are japanese cartoons. all cartoons done in japan are anime. simple as that
there are no "american anime", even cartoons like teen titans which have japanese influenced, animation-wise aren´t anime.
It´s kinda hard for me to decide.
I love cartoons like Ren & Stimpy, Rocko´s modern life, Invader Zim, Simpsons or Futurama to death. All time favourites which can´t be beaten.
yet, I love Evangelion, Detective Conan, Ranma 1/2, Sailor Moon, pokemon to a point,Samurai Shamploo, One Piece, FLCL,Gantz or Video Girl Ai.
It´s just that anime impress me much more and are more memoriable to me, thinking about it.
Just very few cartoons have a serious feeling to them. Some episodes of Futurama ( "the sting", for example is brilliant) make me cry, but are never as emotional as Evangelion in general, or the sad pasts of the One Piece crewmembers.
I prefer some wacky cartoons for funny and entertaing moments ( well, same with animes, but I don´t really like pure-comedy-only animes) as I prefer emotional and interesting animes.
I´m biased towards animes because the german television is full of them since the 70ies, like "the bee-maya" or "Heidi" or " alfred J. Quack" which I love as a kindergarten-child ^^ though I loved Tiny Toon adventures when I was 7.
Both, anime and cartoon, have a LOT bad stuff, like Scooby-Doo ( urg...every episode is the same..) or old Tom & Jerry stuff which I can not watch today anymore.gives me a serious headache. or, for animes, some mainstream "kawaii" BS with happy magical girls or the Xth harem anime out there...