Fanfiction.net is also a good option. There are many talented writers who contribute Izuku - centered stories. You might need to dig a bit deeper by using relevant tags like 'Izuku Midoriya' along with 'hurt comfort' in the search bar to narrow down the results.
Some Tumblr blogs are dedicated to sharing and discussing Izuku hurt comfort fanfiction. You can search for relevant tags such as #Izuku hurt comfort or #Izuku fanfiction. Follow some of the active blogs in this area, and they may reblog or recommend great works to you.
A good Izuku hurt comfort fanfiction often has a believable scenario for Izuku to be in a hurt state. For example, it could be after a tough battle where he's physically injured. The comfort part should be well - written too, like his friends or mentors coming to his aid and providing emotional support.
You can start by looking on popular fanfiction websites like Archive of Our Own (AO3). There are a large number of 'Supernatural' fanfictions there, and you can use the search filters to specifically look for Lucifer - related hurt/comfort ones. Just type in 'Supernatural' and 'Lucifer' along with 'hurt/comfort' in the search bar.
One great 'Hurt Comfort Loki Fanfiction' is 'A Different Kind of Strength'. In this fic, Loki endures a lot of emotional pain after being outcast. The author does an amazing job of showing his vulnerability and then gradually his healing process through the comfort provided by a kind-hearted character. It's a beautifully written piece that really delves deep into Loki's complex psyche.
I really like 'Finding Comfort in Brian' which is a unique take on hurt comfort. Here, Brian initially tries to hide his pain but gradually opens up. The way the comfort is given is very realistic and it makes the story quite engaging.
One great 'Batman Hurt Comfort' fanfiction is 'Healing in the Shadows'. It shows Batman injured and Alfred taking care of him, with a lot of emotional moments. The detailed descriptions of Batman's pain and Alfred's gentle care really make it a top pick.
The theme of perseverance also shows up a lot. Izuku has to persevere through his pain, and the comfort he receives gives him the strength to keep going. It's about how even in tough times, with the right support, one can keep pushing forward in the world of BNHA.
One great Monroe and Nick hurt comfort fanfiction is 'Healing Hearts'. In this story, Nick is injured on a case and Monroe takes it upon himself to nurse him back to health. It beautifully shows their friendship and how Monroe uses his unique skills to comfort Nick.
One great Snape angst hurt comfort fanfiction is 'The Unseen Scar'. It delves deep into Snape's inner turmoil after Lily's death. The way it shows his pain and how he gradually finds some form of comfort through an unexpected friendship is really moving.
One great 'Naruto Angst Hurt Comfort Fanfiction' is 'The Unseen Scars'. It delves deep into Naruto's inner turmoil after a particularly difficult mission. The story shows how his friends gradually notice his pain and come to his aid, providing comfort in a very believable way.
One great Bucky Barnes hurt comfort fanfiction is 'Healing the Winter Soldier' on Archive of Our Own. It really delves into Bucky's trauma and how he slowly heals with the help of the main character. The author does an amazing job of showing his vulnerability and the comfort he finds in this new relationship.