EQ Might includes a wide selection of custom large bags, available through exploration in multiple zones or via purchase with specific currencies. Below is a list of the bags you can obtain.
Wyvern Skin Bag (No Trade, lore)
weight 0.4, bag size: giant, weight reduction: 90%
dropped by Ragnoor the Defender in Veeshan's Peak
Nightmoon Satchel (lore)
weight 0.8, bag size: giant, weight reduction: 90%
dropped by Nightmoon Chieftain Blacktooth in Icefall Glacier
Legendary Treasure Hunter's Satchel
weight 0.4, bag size: giant, weight reduction: 100%
dropped by Legendary Treasure Chest of Fabled Nagafen in Fabled Nagafen's Lair
White Dragon Leather Bag (No Trade, lore)
weight 0.4, bag size: giant, weight reduction: 100%
dropped by Legendary Treasure Chest of Fabled Lady Vox in Fabled Permafrost (duo instance)
Zordak's Masterbox (No Trade, lore)
weight 0.2, bag size: giant, weight reduction: 100%
dropped by Legendary Treasure Chest of Zordakin in Fabled Nagafen's Lair (intense mode)
Fihulf's Strongbox (No Trade, lore)
weight 1.0, bag size: giant, weight reduction: 100%
dropped by Fihulf, Hero of the People in Valdeholm
Bulging Knapsack
weight 7.5, bag size: large, weight reduction: 10%
sold by Marcus in Plane of Knowledge
Kirin Leather Backpack (No Trade, lore)
weight 0.5, bag size: giant, weight reduction: 100%
dropped by Icehoof and Treasure Chest of Thornheart in Stillmoon (duo instance)
sold by Tamara the Dragontamer in Plane of Knowledge
Legendary Traveler's Pouch (No Trade)
weight 0.4, bag size: giant, weight reduction: 100%
sold by Marcus in Plane of Knowledge
Noble Leather Pouch (No Trade, lore)
weight 0.3, bag size: giant, weight reduction: 100%
dropped by Trysta the Dark Tutor and Madame Chiasa in Chambers of Eternal Affliction
Summoran's Rune-Etched Box (No Trade, lore)
weight 0.2, bag size: giant, weight reduction: 100%
dropped by Legendary Treasure Chest of Summoran in Bloodied Quarries
Valdeholm Rucksack (lore)
weight 0.5, bag size: giant, weight reduction: 90%
dropped by different named NPCs in Valdeholm
Surefall Glades Pouch
weight 0.5, bag size: giant, weight reduction: 100%
Dust of Might reward from Dustin Surefall in Surefall Glades
Timeless Bag of Sewn Evil-Eye (No Trade, lore)
weight 3.0, bag size: giant, weight reduction: 100%
dropped by Timeless Evil Eye in Timeless Lower Guk (trio instance)
Red Dragonhide Carryall (No Trade, lore)
weight 0.1, bag size: giant, weight reduction: 100%
dropped by Lord Infernon in the Fabled Plane of Fire
sold by Rick Magmo in Plane of Knowledge
Wyrmscale Carryall (No Trade, lore)
weight 0.2, bag size: giant, weight reduction: 100%
dropped by Mistress Mistrilla in Timeless Western Wastes
sold by Javier in the Plane of Knowledge
Lion Leather Backpack (No Trade, lore)
weight 0.5, bag size: giant, weight reduction: 100%
dropped by Solstice the Firemane in Stillmoon (duo instance)
sold by Tamara the Dragontamer in Plane of Knowledge
Galadvert's Backpack (No Trade, lore)
weight 0.4, bag size: giant, weight reduction: 100%
reward from The Prince Must Die quest from Galadvert Nablisten in Toskirakk
Gleaming Fanghide Pack (No Trade)
weight 0.5, bag size: giant, weight reduction: 100%
dropped by Vorasarpex Goru'Kar Mesa (raid instance)
Legendary Lion Leather Backpack (No Trade, lore)
weight 0.4, bag size: giant, weight reduction: 100%
dropped by Treasure Chest of Solstice in Stillmoon (duo instance)
Legendary Red Dragonhide Carryall (No Trade, lore)
weight 0.1, bag size: giant, weight reduction: 100%
dropped by Lord Infernon in the Fabled Plane of Fire
Legendary Wyrmscale Carryall (No Trade, lore)
weight 0.2, bag size: giant, weight reduction: 100%
dropped by Mistress Mistrilla in Timeless Western Wastes
sold by Javier in the Plane of Knowledge
Orcskin Pouch (lore)
weight 0.6, bag size: giant, weight reduction: 100%
dropped by Zharog Bonecleaver in Toskirakk
Dragon Treasure Chest (No Trade, lore)
weight 0.2, bag size: giant, weight reduction: 100%
dropped by Skaramatra the Risen in the Lair of the Risen
Harmonic Case (No Trade, lore)
weight 0.5, bag size: giant, weight reduction: 100%
dropped by The Silent Pianist in Chambers of Eternal Affliction (intense mode)
Heavy Iron Container
weight 175, bag size: giant
sold by Gene McGoodman in Plane of Knowledge
Mythical Bag of Surefall (No Trade)
weight 0.3, bag size: giant, weight reduction: 100%
Dust of Might reward from Dustin Surefall in Surefall Glades
Researcher's Satchel (No Trade)
weight 0.4, bag size: giant, weight reduction: 100%
dropped by Chief Researcher Entharr in Crystallos
Huell's Strongbox (No Trade, lore)
weight 0.1, bag size: giant, weight reduction: 100%
sold by Huell in Plane of Knowledge
Broodwoven Fangbag (No Trade, lore)
weight 0.2, bag size: giant, weight reduction: 100%
dropped by Brood Mother Visziaj in Crystallos
Mythical Broodwoven Fangbag (No Trade, lore)
weight 0.2, bag size: giant, weight reduction: 100%
dropped by Mighty and Mythical Treasure chests of Brood Mother Visziaj in Crystallos