Here is the full list of all 32 Tethered trophies - there are 10 bronze, 17 silver, 4 gold and 1 platinum.
Use each type of weather at least once
Complete the Tutorial Level
Kill 20 critters with a Watchtower
Survive five nights on a level
Fill your Tavern during the night
Upgrade a Building
Build a Moot Hall
Upgrade a Resource
Build a Barracks
Collect all trophies
Complete Level 5
Complete Level 9
Complete Level 13
Bring harmony to all islands
Build a Workshop
Build a Temple
Sacrifice 10 Martyrs across any levels
Have seven Heroes active on one level
Kill 100 critters
Have only a single injured hero peep left alive at the end of a level
Build at least one of each building and upgrade across any number of levels
Rate A in all categories on a level
Rate A in all categories across all levels
Have at least one of each craftsmen during the course of a level
Hatch 100 eggs across any number of levels
Earn 500 Spirit Energy from Sacred Altars across any number of Levels
Unleash a Frankenpeep and use it to kill 5 critters
Burn a Holy Beacon for an entire night
Have five peeps with clogs on during a level
Kill ten critters with grenades
Store a Rainbow in a Cloudbuster
Upgrade a hero with clogs, armour and sharp tools