Talk to Novac in Isla Prima, south from the campfire. He will tell you to kill specific creatures one by one. You must do them in this order, and after each kill you must return to Novac to get your experience and the next creature.
Tested ways of killing the creature include: fighting it normally, fighting it while someone harms, fighting it and using an item like ring of power, shooting it with a bow.
Casting harm or similar spell that kills the creature without you being in combat with it will not work.
When you kill the right creature, you will get a message telling so. If it wasn't the right one, keep looking around. The given locations are only spawn points, they often wander pretty far from their spawns.
Rat in house on Isla Prima [85,106], 400 xp
Brownie on Isla Prima nortwest corner of the map about [ 32,171], 600 xp
Deer in Desert Pines between Aluwen temple and tele, 800 xp
Green Snake in Desert Pines close to Harvy, 1,000 xp
Talk to Kalana and kill Fox in Portland west of manuschool, 1,500 xp
Small Spider in crystal caverns, Desert Pines near rose quartz, 1,800 xp
Boar in Valley of the Dwarves near ancient temple, 2,000 xp
Wolf in Nordcarn, near Souther Killiran Field exit, 2,200 xp
Male Goblin in Naralik, near haz storage, 2,400 xp
Large Spider in Naralik, dark brown, near mag school, 2,500 xp
Skeleton in Portland Titanium Mines, right when you enter the cave, 3,000 xp
Chinstrap Penguin in Iscalrith (wear MM cape for the Yeti, also wear something warm), between exit to Glacmor and tavern, 4,000 xp
Puma in White Stone, between Forest of the Fall and Elavro Mountains, 4,000 xp
Tall Winged Gargoyle in Tarsengaard, Gargoyle Cave, 4,000 xp
Armed Skeleton in Nordcarn South Cave, over the bridge on the way to rubies, 4,200 xp
Hobgoblin in White Stone Underground, where old haz sto was, 4,500 xp
Female Orc in Glacmor Skill Academy sewers, 5,000 xp
Male Orc in Naralik catacombs (160, 70), 5,000 xp
Troll in Idaloran mines, near Tin ore, 5,000 xp
Grizzly Bear in White Stone south of Northern Woods, west of teleport (but it can step on teleport and land near Morcraven Marsh entrance), 6,000 xp
Ogre in Carmien Manor in Southern Kilaran - right at the door on the 2nd level unless it's wandered off. 6,000 xp
Polar Bear in Irinveron, southeast. 7,000 xp
Armed Female Orc in Grubani Peninsula near Grahm's Village entrance. 7,000 xp
Armed Male Orc in Imbroglio Islands, in the fire maze before the hydro cave. 8,000 xp
Cyclops in Egratia Point - lower sandy area. 8,000 xp
Fluffy Rabbit in Melinis (310,150). 8,000 xp
Phantom Warrior in Ruins of Tirnym. 8,000 xp
Feros in North Redmoon. 8,000 xp
Desert Chimeran in Thelinor. 9,000 xp
Forest Chimeran in Willowvine Forest. 9,000 xp
Mountain Chimeran in Ruins of Tirnym. 9,000 xp
Yeti in Irinveron Caves. 9,000 xp
Cockatrice in Willowvine Forest. 10,000 xp
Arctic chimeran in Trassian (Dra Syn, one of the underground passages, entrance around 15,85) 15,000 xp
Giant in Aeth Aelfan(PK area) 20,000 xp
Red Dragon in North Redmoon volcano 25,000 xp
Black Dragon in Aeth Aelfan 30,000 xp
Ice Dragon in Hulda 30,000 xp+ Vanquisher perk (effective +1 a/d in combat)