Bible stories include:

Old Testament stories

Genesis

• Creation
• Adam and Eve
• The Fall of Man
• Cain and Abel
• Noah and the Flood
• The Covenant
• The Three Visitors
• The Offer of Abraham
• Abraham and Melchizedek
• The Destruction of Sodom and Gomorrah
• Esau Sells his Birthright Blessing
• Jacob's Dream at Bethel
• Jacob Wrestle
• Dinah and the Sechemites
• Joseph in Egypt
• Judah and Tamar
• Pharaoh's Dreams
• Joseph and the Famine

Exodus

• The Birth of Moses
• The Ten Plagues
• The Exodus
• The Wanderings in the Desert
• The Golden Calf
• Moses Receives the Ten Commandments
• Water From the Rock

Numbers

• The Twelve Spies
• Balaam and the Donkey

Joshua

• Rahab and the Spies
• The Fall of Jericho
• The Sun Stands Still

Judges

• Deborah and Barak
• Samson and Delilah
• Gideon

Ruth

• Boaz and Ruth

1 & 2 Samuel, 1 & 2 Kings, 1 & 2 Chronicles

• Hannah and the Birth of Samuel
• David and Goliath
• David and Johathan
• David and Bathsheba
• Absalom's Conspiracy
• The Wisdom of Solomon
• Solomon builds the Temple
• The Queen of Sheba
• Eliah on Mount Carmel
• Eliah Taken up to Heaven
• The Sunnamite's Son
• The Healing of Naaman
• Hezekiah

Jeremiah/Lamentations/Daniel

• The Exile

Daniel

• Nebuchadnezzar's Dream
• Daniel in the Lion's Den
• The Fiery Furnace

Jonah

• Jonah and the Fish

Esther

• Esther and Mordechai

Ezra/Nehemiah

• The Return to Jerusalem
• The Building of the Second Temple

New Testament stories

Mathew, Mark, Luke, John

• The Birth of John the Baptist Foretold
• The Birth of Jesus Foretold
• The Shepherds and the Angels
• The Three Wise Men (Magus) from the East
• The Birth of Jesus
• Jesus at the Temple
• The Temptation of Jesus
• The Wedding Feast at Cana
• The Healing of the Man who was Born Blind
• The Faith of the Centurion
• The Healing of the Crippled Woman
• The Rich Young Ruler
• Zacheus the Tax Collector
• The Healing of the Demon-possessed man
• The Healing of the Sick Woman
• The Triumphant Entry
• The Healing at the Pool
• The Healing of the Boy With an Evil Spirit
• Peter's Confession
• The Young Man from Nain
• The Woman Caught in Adultry
• The Woman at the Well
• The Death and Resurrection of Lazarus
• The Feeding of the Multitudes
• Jesus Walks on the Water
• The Transfiguration
• Jesus Anointed at Bethany
• Jesus Washes his Disciples' Feet
• The Last Supper
• Jesus Agony at the Mount of Olives
• The Betrayal and Arrest
• The Trial of Jesus
• Peter's Denials
• The Crucifixion
• The Resurrection
• On the Road to Emmaus
• Jesus' Appearances
• Peter's Restoration
• The Ascension

Parables told by Jesus

• The Sower
• The Good Samaritan
• The Good Shepherd
• The Lost Sheep
• The Faithful Servant
• The Lost Son
• The Shrewd Manager
• The Rich Fool
• The Rich Man and Lazarus
• The Persistent Widow
• The Ten Virgins
• The Great Banquet
• The Two Sons
• The Householder
• The Marriage Feast
• The Pharisee and the Tax Collector
• The Lost Coin
• The Talents
• The Workers in the Vineyard
• The Tenants

Acts of the Apostles

• The Day of Pentecost
• The Life of the Early Church
• Ananias and Sapphira
• Peter Heals the Crippled Beggar
• The Stoning of Stephen
• Simon the Sorcerer
• Philip and the Ethiopian
• Saul's Conversion
• Peter's Vision
• Peter's Escape from Prison
• The Council at Jerusalem
• Paul and Silas in Prison
• The Riot in Ephesus
• Paul's Trials
• The Shipwreck

There are related stories, which some people would not include in a list of Bible stories, that derive from the various Apocrypha:

• List of narratives from the Apocrypha/Deuterocanonical books.
• List of narratives from New Testament Apocrypha, especially the various Apocryphal Acts and Gospels.