Put me down for almost all of those. LBT, All Dogs Go To Heaven, Lion King, Charlotte's Web...the list goes on.
Interestingly, the last animated thing I cried at (come to think of it, any media) was an episode of a TV show called Static Shock.
SPOILERS FOLLOW
There was an episode which started with a monument being unfurled to health workers who lost their lives curbing a riot. The main character's (Static's) mother had been shot fatally when he was little while she was saving lives of many. In the episode, Static and his friend Gear met another hero who had the unstable power of being able to travel through time. Using a machine, she inadvertantly took them and a bad guy back to the day of the riots, where Static immediately thought of his mother and took her away, telling her of what would happen and warning her to stay away. She was conflicted, unwilling to let others die, but very proud of her son. He then left her in a safe place, and went to rescue his friends. At the end, the machine started to short out, and took them back. As they began to leave, the last thing Static saw was his mother emerging from the ambulance, having returned to save others. He shouted after her, but it was too late. When he got back to the present, he ran home, to find nothing had changed (And the time travelling person went back and prevented herself from being in the area where she got her powers). I watched this and found myself in tears, and I was quite surprised, but it completely tore me up.