Here are lists of stories found in the Book of Mormon, with the book, chapter, and verses for easy locating. These were compiled and provided courtesy of Penny Gardner. Italicized scriptures added by Donna Goff.
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Link to the Book of Mormon on lds.org .
Lehi Warns Jerusalem - 1 Nephi 1:1-8, 18-20
Lehi Departs to the Wilderness - 1 Nephi 2:1-7
Laman and Lemuel Murmur 1 Nephi 2: 8-15
Nephi Prays for his own Testimony - 1 Nephi 2:16-20
Lamanites will have power over Nephites if Nephites rebel - 1 Nephi 2:21-24
Nephi and his Brothers Return to Jerusalem - 1 Nephi 3:1-9
Laman Visits Laban- 1 Nephi 3:10-14
Nephi's Courage and Faith-1 Nephi 3:15-16, 19-21
Trading Treasures-1 Nephi 3:22-27
Laman's Anger-1 Nephi 3:28-31
The End of Laban-1 Nephi 4:1, 5-19
Zoram Joins the Group-1 Nephi 4:20-21, 23-38
Sariah Murmurs and Sons Return- I Nephi 5:1-9
The Contents of the Brass Plates- I Nephi 5:10-22
Lehi a Descendent of Joseph Sold into Egypt- I Nephi 6:1-2
Murmuring, Rebuke, and Softened Hearts- 1 Nephi 7:6-22
Wives for the Sons of Lehi-1 Nephi 7:1-5
Lehi’s Vision of the Tree of Life, Lehi Partakes- I Nephi 8: 1-13
Lehi’s Vision Sariah, Sam, and Nephi Partake- I Nephi 8:14-16
Lehi’s Vision and the Iron Rod- I Nephi 8:17-34
Lehi’s Vision, Laman and Lemuel and a Father’s Admonition- I Nephi 8:35-38
Nephi Makes Two Sets of Record- I Nephi 9:1-6
Lehi Prophesies of Babylonian Captivity- I Nephi 10:1-3
Lehi Prophesies of Messiah- I Nephi 10: 4-15
Nephi Desires to See What His Father Saw- I Nephi 10: 16-22
The Spirit Interviews Nephi- I Nephi 11:1-7
Nephi Sees the Tree of Life and the First Nativity- I Nephi 11:8- 19
Nephi's Vision-1 Nephi 11:21-28, 32-33
Nephi Prophesy’s the Future of His People Till the Time of Christ- 1 Nephi 12: 1-5
Nephi Prophesy’s the Coming of the Savior to His People- 1 Nephi 12: 6-12
Nephi Prophesy’s the Downfall of His People- 1 Nephi 12: 13-23
The Church of the Devil- 1 Nephi 13:1-9
The Gentiles are Led to Discover and Found this Country- 1 Nephi 13:10-19
The Pure Bible, the Loss of Plain and Precious Truths through Apostasy- 1 Nephi 13:20-37
The Restoration of the Gospel- 1 Nephi 13:38-42
A Marvelous Work- 1 Nephi 14: 1-8
Two Churches Only- 1 Nephi 14:9-12
The Persecution of the Saints- 1 Nephi 14: 13-17
The Apostle John’s Writings and Nephite Record- 1 Nephi 14:18-30
Laman and Lemuel’s Cannot Understand, because their Hearts are Hard- 1 Nephi 15: 1-11
The Olive Tree and the Descendants of Lehi will Receive the Gospel- 1 Nephi 15: 12-20
Nephi Explains the Tree of Life- 1 Nephi 15: 20-36
The Liahona-1 Nephi 16:4-12
Nephi the Hunter-1 Nephi 16:15-28, 30-32
Bountiful by the Sea-1 Nephi 17:1, 3-4, 6-15
Nephi Builds a Ship- 1 Nephi 17:16-18, 49-51
Journey by Sea- 1 Nephi 18:4-8
The Wild Party-1 Nephi 18:9-15, 20-21
The Promised Land-1 Nephi 18:22-25
Nephites and Lamanites Separate- 2 Nephi 5:1-2, 5-9
Nephi’s People Prosper- 2 Nephi 5: 10-17
Isaiah’s Panorama of the History of the House of Israel into the Future- 2 Nephi 6:1-17
Jews Fall into Wickedness and Priest Craft, become Stiff Necked and Crucify Christ- II Nephi 10:1-6
The Lord Gathers and Restores Israel and a land of Liberty to the Gentiles- II Nephi 10:7—11
Those who Fight Against Zion will Perish- II Nephi 10: 12-17
This Land Consecrated to Descendants of Lehi & Those Who are Numbered with Them- II Nephi 10: 18-22
The Mountain of the Lord’s House and Millennial Peace—The Temple- II Nephi 12:1-4
The Proud and Wicked Brought Low at the Second Coming- II Nephi 12: 12-22
Judah and Jerusalem Punished for Iniquity- II Nephi 13: 1-26
Zion Cleansed in the Millennial Day- II Nephi 14:1-6
Stem of Jesse (Christ) will Judge- II Nephi 21:1-5
Millennium- II Nephi 21:6-21
Millennium continued- The Lord will Dwell Among them- II Nephi 22
The Fall of Babylon- II Nephi 24:1-10
Lucifer: Fallen Angel- II Nephi 24: 12-20
Nephi Prophesies of the Lord’s Ministry to the Nephites- II Nephi 26: 1-9
The Downfall of the Nephite Nation and their Records- II Nephi 26: 9-17
The Gentiles Build up False Churches- II Nephi 26: 18-28
Priest Craft Forbidden. Laborer in Zion- II Nephi 26: 29-33
The Coming Forth of the Book of Mormon to end the Apostasy- II Nephi 27
Churches in the Last Days- II Nephi 28
Many Gentiles reject the Book of Mormon- II Nephi 29:1-6
The Lord Speaks to Many Nations and His Words Become One in His Hand- II Nephi 29:7-14
Converted Gentiles, Lamanites, and Jews will Believe- 2 Nephi 30: 1-7
Israel Restored, Wicked Destroyed, and the Millennial Day- 2 Nephi 30:8-18
Nephi Preaches Baptism-2 Nephi 31:4-13, 19-21
The Doctrine of Christ- 2 Nephi 32: 1-9
The Allegory of the Olive Tree- Jacob 5: 1-14
The Allegory of the Olive Tree, Checking the Graft to the Tame Tree- Jacob 5: 15-18
The Allegory of the Olive Tree, Checking the Nethermost Parts of the Vineyard- Jacob 5:19-28
The Allegory of the Olive Tree, Checking the Tame Tree with Wild Grafted in- Jacob 5: 29-38
The Allegory of the Olive Tree, Checking the Tame Branches on the Wild Trees- Jacob 5:39-46
The Allegory of the Olive Tree, Trying to Save the Vineyard- Jacob 5: 47-77
Sherem Denies Christ- Jacob 7:1-23 (Jacob, the Brother of Nephi, is speaking)
Enos, A Man of Mighty Prayers- Enos 1-8, 15-17
Amaleki tells the Story of Mosiah Discovering and Uniting with the People of Zarahemla- Omni 1: 12-19
Mosiah Interprets Coriantumer’s Record- Omni 1: 20-22
King Benjamin- Mosiah 1:1-2, 6-7, 9-12, 15-16, 18
King Benjamin Speaks from a Tower- Mosiah 2:1-2, 6-8
The Words of King Benjamin- Mosiah 2:17-18, 22-24, 38-41
The Name of King Benjamin's People- Mosiah 5:1-2, 4-8, 15
Ammon Searches for the People of Zeniff- Mosiah 7: 1-13
Limhi Recounts the History of His People- Mosiah 7: 14-33
A Wicked Nephite, King Noah- Mosiah 11:1, 14, 16-19
Abinadi- Mosiah 11:20, 25-29
Abinadi Preaches- Mosiah 12:1, 8
Abinadi is Carried to the King- Mosiah 12:9, 16-19
Abinadi Teacher the Ten Commandments- Mosiah 13:1-3, 5-9, 12-26
The Death of Abinadi- Mosiah 17:1-20
Alma Believes Abinadi and Preaches- Mosiah 18:1-17
The End of King Noah- Mosiah 19:1-29
Alma's People Prosper- Mosiah 27:1-2, 6-7
The Sons of Mosiah and of Alma- Mosiah 27:8-17
Conversion of Alma the Younger- Mosiah 27:18-24
Alma the Younger and Mosiah's Sons Preach- Mosiah 27:32-37
Mosiah's Sons Preach to the Lamanites- Mosiah 28:1-2, 5-10, 20
Alma the Younger Preaches- Alma 9:1-2, 4-9, 12-13, 31-33
Alma's Reunion with the Sons of Mosiah- Alma 17:1-4
The Travels of the Sons of Mosiah-Alma 17:6-13, 16-17
Ammon's Adventures- Alma 17:18-25
Tending the Flocks- Alma 17:26-39
King Lamoni's Question- Alma 18:1-21
Ammon Preaches to Lamoni- Alma 18:22-43
The Queen Calls Ammon- Alma 19:1-10
King Lamoni Preaches- Alma 19:11-15
Abish Gathers the People- Alma 19:16-20
The Lord's Protection- Alma 19:21-27
Abish Awakens the Queen- Alma 19:28-32
The Church is Established- Alma 19:33-36
Korihor, The Anti-Christ- Alma 30:5-8, 11-14, 17-24
Korihor Denies Christ- Alma 30:29-32, 35-42
Korihor Asks for a Sign- Alma 30:43-50
The Death of Korihor- Alma 30:51-60
The Pride of the People- Alma 31:1, 5, 8-9, 24-25
The Poor are Humble- Alma 32:1-2, 5-12
Seeds of Faith- Alma 32:17-18, 21, 28-33, 37-41
Alma Teaches what Zenos , Zenock and Moses Taught- Alma 33: 1-23
Counsel on Prayer- Alma 34: 17-29
Learn Wisdom in thy Youth- Alma 37: 35-47
Captain Moroni Goes to War- Alma 43:3, 15-18, 26, 29-30, 37-39
Nephites Fight for Liberty- Alma 43:45-54
The Title of Liberty- Alma 46:1-3, 6-8, 11-14, 16, 18-21, 36
An Oath Against Shedding Blood- Alma 53:10-15
The Stripling Warriors- Alma 53:16-23
Helaman Tells of their Courage- Alma 56:45-49, 52, 54-56; 57:25-27; 59:39-40
Secret Combinations Discovered, Kishkumen killed, Gadianton and his band flee- Helaman 2: 1-11
The Church Grows by Thousands- Helaman 3: 20-32
Nephi and Lehi, Sons of Helaman, Freed from Prison- Helaman 5:20-34
Conversing with Angels- Helaman 5:35-52
Samuel the Lamanite- Helaman 13:1-10, 23-24, 29-30
The Savior's Birth Predicted- Helaman 14:1-13
The Savior's Death Predicted- Helaman 14:14-17, 20-31
Samuel the Lamanite Departs- Helaman 16:1-3, 6-8
Where is the Sign?- 3 Nephi 1:4-9
Nephi's Prayer [the grandson of Helaman]- 3 Nephi 1:10-14
Christ is Born- 3 Nephi 1:15-21
The Death of Jesus- 3 Nephi 8:1-25
The Voice of God-3 Nephi 9:1, 12-16, 18-22
The Resurrected Christ in America- 3 Nephi 11:1-17
Jesus Speaks to Nephi- 3 Nephi 11:18-27
No Contention- 3 Nephi 11:28-30, 33-35, 37-38
Jesus Preaches- 3 Nephi 12:3-9, 14-16, 19-20, 44, 48
The Lord's Prayer- 3 Nephi 13:6-13
Lilies of the Field- 3 Nephi 13:28-34
The Sermon- 3 Nephi 14:1-2, 7-8, 12-14
The Wise Man's House- 3 Nephi 14:22-27
Jesus Heals the Sick- 3 Ne 17:1-6
Jesus Blesses the Children- 3 Nephi 17:7-25
The Sacrament- 3 Nephi 18:1-11
Pray Always- 3 Nephi 18:12-21, 24
Water and Fire- 3 Nephi 19:1-3, 5-18
Jesus Feeds the Multitude- 3 Nephi 20:1-9; 28:12
Christ Names His Church- 3 Nephi 27:1-7, 13-17, 20-22, 28-29, 33
Twelve Wishes- 3 Nephi 28:1-12
The Three Nephites- 3 Nephi 28:13-32, 36-40
The Brother of Jared- Ether 1:1-2, 5, 33-43
In the Valley of Nimrod- Ether 2:1-7
Don't Forget to Pray- Ether 2:13-15
Building Boats- Ether 2:16-25
Light for the Boats- Ether 3:1, 3-4, 6
Seeing the Lord- Ether 3:7-16, 25-28
The Jaredites' Journey- Ether 6:2-13
Jaredites Ask for a King- Ether 6:16-30
Repent or Be Destroyed- Ether 11:1, 6-8, 20-22
End of the Jaredites- Ether 15:12-14, 19, 30-34
Know the Truth of the Book of Mormon- Moroni 10:3-5
(posted compliments of Penny Gardner) Italicized additions by Donna Goff