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Disenchantment IV
Disenchant 1500 items.
Disenchantment IV requires you to disenchant 1500 items total and awards 10 achievement points upon completion.
Craft Items for Disenchanting
The most cost-effective method is to craft 
Heavy Linen Gloves using Tailoring and mail them to your Enchanter, then disenchant all 1500. Note that early Classic Enchanting wands cannot be disenchanted, so avoid crafting those.
Use a Macro to Disenchant
Use the macro '/cast disenchant' followed by '/use item:4307' (replacing the item ID with the one for whatever you are disenchanting, found in the item's Wowhead URL) to disenchant with a single button press, reducing the process to roughly 2-3 hours for the full 1500 items.
Farm Old Raids Alternatively
As an alternative, enter old raids solo and disenchant every piece of gear you collect, since each raid run typically yields 50-60 disenchantable items.
Tips
If you are already grinding other crafting profession achievements, craft disenchantable items (such as Heavy Linen Gloves) instead of non-disenchantable ones like bandages or sharpening stones, so both achievements progress simultaneously.