Avengers Academy 14.1
This is one of the better .1 issues, on nearly every level. It introduces the characters, all of whom are pretty new to me, gives us some action, presents an interesting and ambiguous new character connected to the team, and presents some actual moral ideas for them to think about.
This is a good first issue, and it does pretty much everything you want a fresh start to do. We get an opening fight scene, making clear that Hercules is now mortal and vulnerable, but still strong and with an array of ancient magical weapons. We get what looks like a new supporting cast, which also gives him a job and a place to live. We get mysterious voices of worship, suggesting that his demigodhood is not entirely dispensed with (and being a superhero comic, we can have no doubt that it will be returned sooner or later). Finally, we get some more action, leading to confrontation with the (or a?) Hobgoblin, who is working for the Kingpin.