Throughout the book of Acts, the apostles preach about Jesus from the Old Testament. Here a helpful list from Ben Falconer of at least many of the ways the Old Testament does indeed point to Jesus:
He is the promised seed of Adam who would crush Satan’s head (Gen. 3:15).
He is the descendent of Abraham through whom every nation on earth would be blessed (Gen. 12:3).
He is the son of Judah, who reigns eternally as king, whose garments are washed in the blood of grapes, and whose hand is on the neck of his enemies (Gen. 49:8-12).
He is the Passover Lamb who was slain to protect God’s people from the Angel of Death (Exod. 12).
He is the greater son of Israel who came out of Egypt, and He is the great redeemer who brings his people out of a bondage and slavery that is far worse than anything the Israelites experienced there (Exod. 12-14).
He is the true bread from heaven that actually nourishes and feeds his people (Exod. 16).
He is the Rock from whom the only life-giving water flows (Exod. 17).
He is the fulfillment of the Law, perfectly obeying not only the 10 Commandments, but all 613 from the day of his birth (Exod. 20).
He is the One through whom we enter into our lasting Sabbath rest, not just for one day out of seven, but for every day from now through all eternity (Exod. 23:10-12).
He is our great High Priest who offers his very body as an atonement for the sins of his people (Exod. 28-29).