The first half of episode 1 easily counts as this, due to it being a very concentrated piece of Break the Cutie. To elaborate, two moments really stand out. The first is when Kotoura's mother leaves. Haruka is crying and begging for her not to go away, insisting she'll be a better daughter. Her mother coldly pushes her to the ground and says she should never have given birth to Haruka. The second was the stray cat. Losing it all but broke Kotoura. Especially considering what likely happened to the cat...
While inciting more anger and horror than anything, the fact that Kumiko breaks before the end of the first 10 minutes, is pretty sad. Especially how much she originally doted on Haruka.
Episode 12 builds on this scene, as Haruka sees her mother's thoughts just moments after she left, crying her eyes out at not being a good enough mother for her. While it doesn't justify her abandonment, at least Haruka realized how much her mother regretted her action. Her mother's eyes briefly revert back to normal when she hears Haruka sleep talking that she wants eggs over easy— Haruka's telling her mom about wanting eggs over easy for breakfast many years ago was the beginning of the realization of her telepathy.
The ending of episode 3. Manabe has gotten out of the hospital after a nasty fight with the Moritani dojo's four goons, and Kotoura is nowhere to be found. Even though he's the one still cut and bandaged, his thoughts are "I failed to protect her." Push comes to shove, the wounds he does to himself because he loves Kotoura that much are the ones that hurt him the most.
The first few lines of The Flower of Hope, being that song's own Downer Beginning, is naturally tear-jerking. The cynicism of the third line is particularly so.
