Successfully complete one of the following tasks to get a trophy:

Living Monument (Bronze): Your Temple Guardian reaches Level 15.
The Dreaded One (Bronze): Your Inquisitor reaches Level 15.
Hero of Tyr Lysia (Bronze): Your High Elf reaches Level 15.
One with Nature (Bronze): Your Dryad reaches Level 15.
Hunting Presence (Bronze): Your Shadow Warrior reaches Level 15.
Blessed (Bronze): Your Seraphim reaches Level 15.
Walker (Bronze): Any Hero completing a quest in the Orc Region during Campaign.
Wanderer (Bronze): Any Hero completing a quest in the Dragon Realm during Campaign.
Traveling Person (Bronze): Any Hero completing a quest in the Marshes of Hissil'Ta during Campaign.
Adventurer (Bronze): Any Hero completing a quest in the Deserts of Bengaresh during Campaign.
Globetrotter (Bronze): Any Hero completing a quest in the Jungle region during Campaign.
Discoverer (Bronze): Any Hero completing a quest in Dyr-Lain, the Isle of Dryads during Campaign.
Expedition Master (Bronze): Any Hero completing a quest in the Wastelands during Campaign.
Diligent (Bronze): Any Hero has solved 20% of all sidequests.
Junior Cartographer (Bronze): Any Hero has explored 30% of the map.
Tomb Raider (Bronze): Any Hero has read 100 epitaphs (graves).
Polytheist (Bronze): Any Hero has explored all 20 Temples
Bookworm (Bronze): Any Hero has read 33 Books.
Ascaron Fan (Bronze): Any Hero has found the secret halls of Ascaron.
City Guide (Bronze): Any Hero has visited all 42 towns.
Group Hug (Bronze): Any Hero fighting alongside three other heroes in multiplayer mode.
Hospitable (Bronze): You hosted your first multiplayer game.
Hawker (Bronze): You successfully traded with another user.
Combat Art Expert (Bronze): Any Hero has maximized a combat art modification.
Millionaire (Bronze): Any Hero owning 1,000,000 gold.
Great Enhancer (Bronze): Any Hero has forged something into an item for the first time.
Scrooge (Bronze): Any Hero has completed the main quest without buying anything.
Legendary (Silver): Any Hero reaches Level 35.
Bright Savior of Ancaria (Silver): Any Hero has completed the Light campaign.
Dark Ruler of Ancaria (Silver): Any Hero has completed Dark campaign.
Survivalist (Silver): You completed the campaign with a Hero who never died.
Dedicated (Silver): Any Hero has finished Bronze with no more than 20% of the map being explored.
Dreadnought (Silver): Any Hero has slain 25 boss monsters.
Master Cartographer (Silver): Any Hero has explored 50% of the map.
Extremely Diligent (Silver): Any Hero has solved 40% of all sidequests.
Fashion Victim (Silver): Any Hero wearing a complete armor set for the first time.

Additionally, there are twelve secret trophies:

Secret trophy (None): Unknown.
Secret trophy (None): Unknown.
Secret trophy (None): Unknown.
Secret trophy (None): Unknown.
Secret trophy (None): Unknown.
Secret trophy (None): Unknown.
Secret trophy (None): Unknown.
Secret trophy (None): Unknown.
Secret trophy (None): Unknown.
Secret trophy (None): Unknown.
Secret trophy (None): Unknown.
Secret trophy (None): Unknown.