No one posted this yet, so I might as well say it.
Plastic Memories - I mean, some people would argue to a certain extent, but I still found this show tearjerking. The overall plot is what really gets to you. The fact that (Plastic memories spoiler) If you’re a Giftia, you can only live for roughly, about 9 years, then after your time is up, you end up loosing your memories, with nothing being able to trigger those memories back, if they decide to keep you around at least.
Sword Art Online (Both seasons) - Like Plastic memories, the overall plot is sad. Especially during the second season in the “Mother Rosario’s” arc. (SAO ll “Mothers Rosario” arc character spoilers) The fact that there are people like Yuuki, who have health issues, can go into a world, and live as freely as much as they want. Making friends, not getting hurt, and having the time of your lives.
Ao Haru Ride - This is an anime where I would say, it was more of a love, and reality show. But it does have its touching moments, especially towards the end when you find out why things have changed.
The Last: Naruto the Movie - I’m honestly not really a fan of the Naruto franchise, but I know the basic facts of it at least. This movie is pretty much just sad how (The Last: Naruto the movie spoiler) Hinata couldn’t admit her feelings for Naruto, and was knitting him a scarf that got ruined. Then she kept remaking her scarf, and it kept gettin ruined, it was cruel, after all that effort.
Studio Ghibli Films Basically, mostly everything they make is tear jerking. Spirited Away, My Neighbor Totoro, Grave of the fireflies, etc.
There are other anime’s where the sad scenes would come in, but, mostly every anime has a sad scene, but it’s not relevant much, so yeah.
Some people suggest Guilty Crown Which I plan on watching, and Future Diary But I found the main heroine as a turn off.