I saw "lets falling Looking for scenes" and I saw EkaCoralian...I knew what I was gonna see.
Well since we're on that subject, the Eureka Seven movie has a nice little scene in the beginning too. Episode 1, 2, 48, 50 the 3rd and 4th OP.
The last 2 episodes of Birdy: The Mighty: Decode.
Durarara!! episode 2 (a few quick scenes where a girl attempts suicide and then actually jumps)
Ghost in the Shell (any of the seasons has Motoko falling in the first episode)
HImawari episode 1 (you should not watch past the first episode or you will regret it)
Heavens Lost Property
The last half of Chobits
Almost as hard as fighting a Holy Paladin.