General:
* Tales of Old
* Ancient Lore
* Whispers from the Past
* Forgotten Histories
* Legends of Yore
* Chronicles of Time
* The Storyteller's Legacy
* Echoes of the Ancients
Mythological:
* Myths and Legends
* The Weaver's Loom of Stories
* The Bard's Anthology
* The Oracle's Scrolls
* The Keeper's Grimoire
* The Dragon's Hoard of Tales
More descriptive:
* The Fireside Tales of [Place or Time]
* The Moonlit Stories of [Specific People or Culture]
* The Weaver's Threads of [Specific theme, like Love, Courage, etc.]
Modern:
* The Anthology of Ancient Narratives
* The Time Capsule of Stories
* The Unfolding Tapestry of the Past
Consider:
* The type of stories: Are they folk tales, myths, historical accounts, or something else?
* The cultural context: Where and when did these stories originate?
* The intended audience: Who are you writing this collection for?
Ultimately, the best name will depend on the specific content of your collection.