The Gospel sermons of Acts...
Hi, wonderful chapter. You stated that the gospel message is basically Jesus, and specifically faith in Jesus. Though you did note that none of the gospel sermons state WHY Jesus died, they do emphasize the centrality of his prophetic death and significant resurrection. The only other thing is that the apostles always, in their sermons, indicate a response to the message of God's fulfillment of the promise of the Messiah, especially in the sense of eternal life which is contrasted with this "perverse generation".
But the only other thing is that Jesus himself preached the gospel, and yet he never fully reflected on himself. He instead spoke of the gospel in terms of the kingdom of God, eternal life, and righteousness. So yes, on the one hand it is very central to Christ. Yet at the same time, the heart of the gospel is about the kingdom of God and how one enters that kingdom (which brings in everything to do with faith and life in Christ, godly living, and the contrast and rejection of the world system).
But it's great. Last thing- I think it would help to cite at least one of the sermons of Acts, maybe Peter's first sermon or Paul's sermon (that mirrors Peter's). It's always good to at least cite all of the sermons (especially since they are very good looks at the message of the gospel and can be hard to find). Anyway, you have no idea how much of a blessing you have been to me over this past year