Well, of course, FMA made me cry... the first anime was much more emotional but I don't remember really crying (it was mostly
Hughes' death with his "ghost" waving at Edward
, Elysia's reaction at the Funeral, Nina's fate and Trisha's failed transmutation by her sons) while Brotherhood really made cry once (again, it's related to
Hughes' death... it was the moment when Winry came to see Gracia and Elysia... and Elysia opened the door expecting to see her father... and then Edward and Winry closed the door and heard Gracia crying... it was too sad for me).
And then :
Fruits Basket : I watched this when I was slightly younger and remember laughing and liking a lot the characters. I thought this anime was so touching and funny. The episode (episode 9 I think) about Hatori and Kana broke the humor (it was seriously sad, I felt so sorry for them, especially Hatori), and then the series resumed being hilarious and cute until the ending... and I cried like a baby. The scene between Tohru and
her two best friends at the cemetary was powerful and of course, the hug between Tohru and Kyo when he returned to his human self (and Kyo's japanese VA did a great job... he always does anyway
). Such a tearjeaker, those 2 last episodes.
Cowboy Bebop : when Faye
watched the videotape about her younger self and she said "I don't remember..." and teared up. Also, when she did remember her past and she found ruins instead of a house and family waiting for her. And then, there was the ending
(Faye really had no luck, the gang seriously got split up and Spike got a tragic ending... I thought it was well done and everything... but still sad) and Vincent's story in the movie.
Wolf's Rain : The whole anime

? No, let see... mainly
Cher, Toboe and Cheza's death. But seriously, the whole thing was depressing from start to finish so it's hard to pick moments.
Nana : Hachi
and Nobu's break up. I cried buckets watching this scene and always hated what the author decided for them
(which means, Nobu to get into shallow relationships instead of fighting for Hachi... and Hachi to marry the most despicable man there is on earth just because she suddenly discovered he got her pregnant). I'm also sad and disappointed to see how are Nana and her friendship with Hachi now... I guess it happened because the author wasn't feeling well (she didn't finish the story because of her illness but I hope she will, one day).
Evangelion :
Misato crying while listening Kaji's message. And the moments between Rei and Shinji were always moving. This series was so depressing/messed up but... I still loved it.
Lucky Star : Pretty unexpected, knowing the series is so funny and random. But it touched me when
Konata's mom visited her family.Escaflowne : Most of Van/Hitomi moments were full of emotions (and tension). There was also that moment when Merle
prayed for Van's safety... it's really touching when she gets serious like that, knowing she's such a hyperactive funny pest most of the time.
Then, there are animated movies, such as
Grave of the Fireflies (you CAN'T not cry while watching this),
The Girl who Leapt through Time,
The Lion King (
Mufasa's death was something when I was little... but I cried just listening to the opening of the broadway play when I went to see it *and my mother was crying as well

*),
Bambi (pure childhood's memories),
Wall-E (the ending) and
Tangled (idem)...