Acts 2:
32 This Jesus God raised up again, to which we are all witnesses. 33 Therefore having been exalted to the right hand of God, and having received from the Father the promise of the Holy Spirit, He has poured forth this which you both see and hear. 34 For it was not David who ascended into heaven, but he himself says:
‘The Lord said to my Lord, “Sit at My right hand, 35 Until I make Your enemies a footstool for Your feet.”’
36 Therefore let all the house of Israel know for certain that God has made Him both Lord and Christ—this Jesus whom you crucified.”
Seems to me Peter is focusing on the death and resurrection of Jesus Christ quite clearly.
Then of course Peter expands on his sermon a second time in Acts 3...
Acts 3:
17 And now, brethren, I wot that through ignorance ye did it, as did also your rulers. 18 But those things, which God before had shewed by the mouth of all his prophets, that Christ should suffer, he hath so fulfilled.
19 Repent ye therefore, and be converted, that your sins may be blotted out, when the times of refreshing shall come from the presence of the Lord. 20 And he shall send Jesus Christ, which before was preached unto you:
21 Whom the heaven must receive until the times of restitution of all things, which God hath spoken by the mouth of all his holy prophets since the world began.22 For Moses truly said unto the fathers, A prophet shall the Lord your God raise up unto you of your brethren, like unto me; him shall ye hear in all things whatsoever he shall say unto you.
23 And it shall come to pass, that every soul, which will not hear that prophet, shall be destroyed from among the people. 24 Yea, and all the prophets from Samuel and those that follow after, as many as have spoken, have likewise foretold of these days.
25 Ye are the children of the prophets, and of the covenant which God made with our fathers, saying unto Abraham, And in thy seed shall all the kindreds of the earth be blessed. 26 Unto you first God, having raised up his Son Jesus, sent him to bless you, in turning away every one of you from his iniquities.
Looks like the same Gospel preached as Paul. But if that is not convincing, let's look at what Paul said.
1 Corinthians 15:
15 Moreover, brethren, I declare unto you the gospel which I preached unto you, which also ye have received, and wherein ye stand; 2 By which also ye are saved, if ye keep in memory what I preached unto you, unless ye have believed in vain.
3 For I delivered unto you first of all that which I also received, how that Christ died for our sins according to the scriptures; 4 And that he was buried, and that he rose again the third day according to the scriptures: 5 And that he was seen of Cephas, then of the twelve:
6 After that, he was seen of above five hundred brethren at once; of whom the greater part remain unto this present, but some are fallen asleep. 7 After that, he was seen of James; then of all the apostles. 8 And last of all he was seen of me also, as of one born out of due time.
9 For I am the least of the apostles, that am not meet to be called an apostle, because I persecuted the church of God. 10 But by the grace of God I am what I am: and his grace which was bestowed upon me was not in vain; but I laboured more abundantly than they all: yet not I, but the grace of God which was with me.
11 Therefore whether it were I or they, so we preach, and so ye believed.
Maybe you should re-read Peter’s sermon. Where do you find him speaking of Christ’s death as GOOD NEWS? He didn’t. He BLAMED Israel for Christ’s death. That is not preaching the gospel of the grace of God. In no way.