There might be a fanfiction where Aizawa Shouta discovers a hidden side of All Might. Maybe All Might has a secret hobby or a past event that he's never shared. Aizawa, being the observant one, slowly uncovers it. This could lead to a deepening of their relationship, starting from curiosity and evolving into a strong friendship or more, depending on the writer's take.
You can try Archive of Our Own (AO3). It has a large collection of fanfictions across various fandoms, including for My Hero Academia which is where Aizawa Shouta and All Might are from. There are filters you can use to specifically search for their relationship - centered fanfictions.
Deku's experiences with being bullied for not having a quirk. This would be important because it shaped Deku's character and his insecurities. Aizawa might focus on this to better understand the root of Deku's drive and his sometimes over - eager nature to prove himself. It also gives Aizawa more insight into why Deku is so desperate to be a hero despite the odds.
Perhaps in the fanfiction, Aizawa gets One For All and decides to keep it a secret. He then starts training in isolation to master it. As he trains, he discovers new aspects of the power that are different from what previous users experienced, due to his own unique quirk and personality. He might use it to secretly protect his students from threats that are beyond the scope of his normal abilities.
He would likely become more confident in his abilities. Aizawa is already a capable hero, but One For All would give him an extra edge. This new power might make him a bit more assertive in hero situations, rather than just being the stealthy and observant hero he was before.
The students of Class 1 - A are often involved. For instance, Midoriya might be portrayed as being unjustly treated by Aizawa, and the fanfic could focus on Midoriya's struggle against Aizawa's supposed unfairness. Bakugo could also be in the story, maybe being in conflict with Aizawa's disciplinary actions.
Yes, there are. However, their availability might vary depending on your location and the specific comic publishers. Sometimes, limited editions or special releases of All Might comics can be harder to come by.
Aizawa is still going strong in the manga. There's no event or storyline that has resulted in his death. The creators have chosen to keep him as an active character.