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