Here is the full list of all 8 One Eyed Kutkh trophies - there are 1 bronze, 6 silver and 1 gold.
Caused a quarrel between The Sun and The Moon
Reconciled the Sun with the Moon
Found all exits of the labyrinth
Press the same button four times in a row
Saw all dreams
Refused to give a man boats three times in a row
Visited a bear three times
All the ends of all the branches reached