Looking for Aizawa/Izuku fics that pull the heartstrings isn't easy, since the ship's not the most common, but it's out there if you're willing to dig. The real emotional gut-punchers often center on mentor-protégé dynamics gone wrong—like Aizawa failing to protect him, or Izuku internalizing that his power isn't enough to meet Eraserhead's expectations. You'll find more of this vibe in long-form fics on Archive of Our Own tagged 'Angst' or 'Hurt/Comfort,' sometimes bundled in larger MHA (My Hero Academia) collections.
I stumbled on one called 'Eraserhead's Regret' that was pure, unadulterated pain; it explored Aizawa's guilt after a mission where Izuku gets critically injured. The writing was a bit uneven in places, but the emotional beats hit hard. Just be ready to filter through a lot of Dadzawa fluff to find the darker, more relationship-focused angst.
Honestly, some of the best ones I've read were on smaller, personal blogs before the writers moved them to AO3. The search is part of the journey, I guess.