Not a quest but still a fun thing to do....so anyway this how to get all of the tattoos...
Paint Pallet - Just deliver the missing paintbrush and paint back to the painter.
Character Class - Visit the painter while wearing no outfit.
Bugbear - Visit the painter while wearing the bugbear outfit (Bugbear Bunguard and Bugbear Beanie)
Hippy - Wear the filthy hippy outfit (Filthy Coudroys and Filthy Knitted Dreadsack) and visit the painter
Martini - Drink a martini and visit the painter
Mining - Wear the 7ft Dwarvern Miner's Outfit (7ft Dwarvern Mattock, Miners Pants and Miners Helmet) and visit the painter
Knob Goblin Elite - Wear the Knob Goblin Elite Outfit (Knob Goblin Elite Polearm, Knob Goblin Elite Helm and Knob Goblin Elite Pants) and visit the painter
eXtreme Cold Weather - Wear the eXtreme Cold Weather Gear (eXtreme Mittens, eXtreme Scarf and Snowboarder Pants) and visit the painter
Knob Goblin Harem Girl - Wear the Knob Goblin Harem Girl outfit (Knob Goblin Harem Pants and Knob Goblin Harem Girl Veil) and visit the painter
Orcish Frat Boy - Wear the Orcish Frat Boy outfit (Orcish Frat Boy Pants, Orcish Frat Boy Baseball Cap and Homoerotic Frat Paddle) and visit the painter
Pirate - Wear the Pirates outfit (Swashbuckling Pants, Stuffed Shoulder Parrot and Eyepatch) and visit the painter
Hot and Cold Ninja - Wear the Hot and Cold Ninja outfit (Hot Ninja Pants, Cold Ninja Mask, Hot and Cold Katana) and visit the painter