As you may know you can train almost any skill 1->30 for 3 silver. The price is so cheap it's worth doing it for any skill. However, Treasure Hunting, Lock Picking, and Beast Mastery can not be learned by a skill trainer. You should pick them up at character selection and train the other skills for your build. Below is the complete list as of early access. I'm sure they will move or be updated eventually.

Skills Vendor  Location
Alchemy Alchemist Valus, Black Forest, Helm, Eldeiir Village, Oasis, Pyro's Landing
Animal Lore Stable Master Valus, Black Forest, Helm, Eldeir Village, Oasis, Pyro's Landing
Animal Taming Stable Master Valus, Black Forest, Helm, Eldeir Village, Oasis, Pyro's Landing
 Archery Master Scout Valus
Bashing Guy the Trader Valus
Blacksmithing The Black Smith Valus, Black Forest, Helm, Eldeir Village, Oasis, Pyro's Landing
 Blocking Master Knight Valus, Helm, Oasis
Carpentry Carpenter Valus, Black Forest, Helm, Eldeir Village, Oasis, Pyro's Landing
Channeling Master Fieldmage Valus, Black Forsest
Cooking Chef/Innkeeper Valus, Black Forest, Helm, Eldeir Village, Oasis, Pyro's Landing

Evocation

Master Sorcerer Valus, Black Forest, Helm, Eldeir Village, Oasis, Pyro's Landing
Fabrication  Tailor Valus, Black Forest, Helm, Eldeir Village, Oasis, Pyro's Landing
Fishing Angeler/Fish Monger Helm, Pyro's Landing
Healing Guy the Trader Helm, Eldeir Village, Pyro's Landing
Heavy Armor Master Knight Valus, Helm, Oasis
Hiding Master Rogue Black Forest, Pyro's Landing
Inscription The Scribe Valus, Black Forest, Helm, Eldeir Village, Oasis, Pyro's Landing
Lancing Master Gladiator Valus, Oasis
Light Armor Master Rogue Black Forest, Pyro's Landing
Lumberjack Carpenter Valus, Black Forest, Helm, Eldeir Village, Oasis, Pyro's Landing
Magic Affinity Master Sorcerer Valus, Oasis
Manifestation Master Fieldmage Valus, Black Forest
Mining The Tinkerer Valus, Black Forest, Helm, Eldeir Village, Oasis, Pyro's Landing
Piercing Master Rogue Black Forest, Pyro's Landing
Slashing Master Knight Valus, Helm, Oasis
Stealth Master Rogue Black Forest, Pyro's Landing
Vigor Master Knight/Gladiator Valus, Helm, Oasis

If any changes need to be made please leave a comment below and let me know, or send me a tweet!