Skinning quests

Classic

 * Gathering Leather


 * Salve via Skinning (repeatable)

You need to have the Cenarion Beacon to get Patch of Tainted Skin via skinning from Arathandris Silversky (Alliance) or Maybess Riverbreeze (Horde) in southern Felwood after completing Cleansing Felwood.

The quest is simple. You turn in 5x Patches of Tainted Skin for 2x Cenarion Plant Salves to the appropriate faction NPC. You get 4200 XP the first time you do it.

The Burning Crusade

 * Nethermine Flayer Hide (quest)

This is one of the daily quests on Netherwing Ledge where you turn in 35 Nethermine Flayer Hide and gain reputation with Netherwing and some cash.

Legion
As with all professions in Legion, Skinning has its own quest chain through which you learn better gathering techniques.