IMO you're oversimplifying the Good News and what you're saying needs a lot of explanation. Who is Jesus? Saves from what? Why do I or why does anyone need to be saved? The list can go on.
I see a structure to the Gospel mostly in Paul in his role as Apostle to the nations. He begins with placing a foundation (1Cor3), then speaks of building on that foundation. He says in effect that the only foundation is Jesus Christ, but this is shorthand for Jesus is Christ, even Jesus is the Christ. But this requires the hearer to know what the Christ is. We can see how Paul really evangelized in Acts 13-41. Notice the reaction of the Gentiles (Nations) immediately thereafter. And notice Paul's reference to Psalm 2 wherein we can get an idea of just who and what this "Christ" - actually "YHWH's Annointed" and YHWH's King - is.
This is the ultimate simplicity of the Good News of/from God; His Christ - His King - is Jesus. And when one understands from Psalm 2 that kings of the earth had best listen to Him or perish in His wrath, it's pretty simple to instruct that everyone had best do the same, and then one can begin to know what faith in Jesus = the Christ really means.
9 Therefore God also has highly exalted Him and given Him the name which is above every name,
10 that at the name of Jesus every knee should bow, of those in heaven, and of those on earth, and of those under the earth,
11 and that every tongue should confess that Jesus Christ is Lord, to the glory of God the Father. (Phil. 2:9-11 NKJ)
It's always been and remains an authority issue. This is the simplicity. It's all in the title and the fact that Jesus alone bears the title in its full form.