1. Other people are surprised by how he acts - like maybe they had this preconceived image in their heads of how Captain America was, and are surprised when he doesn't really fit with this idea.
2. Fics where Steve is upset/depressed over the fact that he pretty much lost everyone he cared about and woke up to find his entire world changed. It may have been years since the war and his awakening, but for him he literally went down and then woke up in the 21st century - I want to see the effect that that has on him.
3. Fics where Steve comes across something that reminds him of the people he lost (like Bucky and Peggy), and ends up telling the other Avengers about them.
4. I recently read a fic where the avengers think that Steve's rescue of the 107th division had been authorised, and are shocked to find out that he'd defied orders and rescued them by himself, without permission. Are there any other fics like this?