Lootbags can be found by:

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Killing entities (Common chance)

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Enchanting via anvil (Uncommon)

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Breaking blocks (Rare chance)

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Fishing (Likely chance)

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Crafting (Uncommon chance)

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Smelting (Uncommon chance)

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Waking up (Very likely chance)

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Taming pets (Very likely chance)

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Dealing critical hits (Common)

Common -

Uncommon -

Rare -

Very Rare -

Epic-

Legendary -

Unreal -

Mythical -

Golden -

Experience -

Greater Experience -

Grand Experience -