The Bible listed a total of 11 men named Joseph, some in the Old Testament and others in the New Testament.
A son of Asaph - 1 Chronicles 25:2:
1. David, together with the commanders of the army, set apart some of the sons of Asaph, Heman and Jeduthun for the ministry of prophesying, accompanied by harps, lyres and cymbals. Here is the list of the men who performed this service:
2. From the sons of Asaph: Zaccur, Joseph, Nethaniah and Asarelah. The sons of Asaph were under the supervision of Asaph, who prophesied under the king's supervision.
A descendant of Binnui (after the exile) - Ezra 10:38-42:
38. From the descendants of Binnui: Shimei,
39. Shelemiah, Nathan, Adaiah,
40. Macnadebai, Shashai, Sharai,
41. Azarel, Shelemiah, Shemariah,
42. Shallum, Amariah and Joseph.
A descendant of Shecaniah, a priest that returned from exile - Nehemiah 12:1-14:
1. These were the priests and Levites who returned with Zerubbabel son of Shealtiel and with Jeshua: Seraiah, Jeremiah, Ezra,
2. Amariah, Malluch, Hattush,
3. Shecaniah, Rehum, Meremoth,
...
12. In the days of Joiakim, these were the heads of the priestly families: of Seraiah's family, Meraiah; of Jeremiah's, Hananiah;
13. of Ezra's, Meshullam; of Amariah's, Jehohanan;
14. of Malluch's, Jonathan; of Shecaniah's, Joseph;
Three men named Joseph were in the lineage of Joseph, the man who raised
Jesus as his own son.
Luke 3:23-31 mentioned 2 other men named Joseph in the lineage of Joseph (in addition to Joseph himself):
23. Now Jesus himself was about thirty years old when he began his ministry. He was the son, so it was thought, of Joseph, the son of Heli,
24. the son of Matthat, the son of Levi, the son of Melki, the son of Jannai, the son of Joseph,
25. the son of Mattathias, the son of Amos, the son of Nahum, the son of Esli, the son of Naggai,
26. the son of Maath, the son of Mattathias, the son of Semein, the son of Josech, the son of Joda,
27. the son of Joanan, the son of Rhesa, the son of Zerubbabel, the son of Shealtiel, the son of Neri,
28. the son of Melki, the son of Addi, the son of Cosam, the son of Elmadam, the son of Er,
29. the son of Joshua, the son of Eliezer, the son of Jorim, the son of Matthat, the son of Levi,
30. the son of Simeon, the son of Judah, the son of Joseph, the son of Jonam, the son of Eliakim,
31. the son of Melea, the son of Menna, the son of Mattatha, the son of Nathan, the son of David,
Joseph from Arimithea who helped bury Jesus - John 19:38 (also spoken of in Matthew & Luke)
Matthew 27:57-60:
57. As evening approached, there came a rich man from Arimathea, named Joseph, who had himself become a disciple of Jesus.
58. Going to Pilate, he asked for Jesus' body, and Pilate ordered that it be given to him.
59. Joseph took the body, wrapped it in a clean linen cloth,
60. and placed it in his own new tomb that he had cut out of the rock. He rolled a big stone in front of the entrance to the tomb and went away.
Luke 23:49-54:
49. Now there was a man named Joseph, a member of the Council, a good and upright man,
50. who had not consented to their decision and action. He came from the Judean town of Arimathea and he was waiting for the kingdom of God.
51. Going to Pilate, he asked for Jesus' body.
52. Then he took it down, wrapped it in linen cloth and placed it in a tomb cut in the rock, one in which no one had yet been laid.
53. It was Preparation Day, and the Sabbath was about to begin.
54. The women who had come with Jesus from Galilee followed Joseph and saw the tomb and how his body was laid in it.
Joseph/Barsabbas/Justus - a candidate for Judas' replacement as a disciple in
Acts 1:23
23. So they proposed two men: Joseph called Barsabbas (also known as Justus) and Matthias.