In order to get the "Nice Day" trophy in Burly Men at Sea, you need to leave the Whale without putting on the barrels, allow the jellyfish to defeat you and reach the surface without breaking the bubble by keeping the seals close together.
(Remember to make cross saves before trophy related decisions to drastically speed up your play throughs).
Here's the steps from when you enter the Whale, which is an unavoidable incident at the very beginning of the game:
-- Talk to the girls by the fire
-- Head left and go through the door behind your ship
-- Scroll right, get through the dialogue
-- Interact with the uvula, get through the dialogue
At this point you will unlock:
-- Swim right for a moment. Stop and swim left. Swim to the right a little again until you see an island.
-- It's not an island, it's a jellyfish! Wait for the jellyfish to grab a Burly Man and interact with the tentacle to make it drop him again. Do this three times for each Burly Man.
Once the dialogue is finished you will unlock:
-- Hold R2 (or R on Vita) to continue, but make sure to pause if the bubble develops a sharp corner, which means it may burst. You need to keep inside the bubble so only move with R2/R again once the corner has smoothed itself away again. Keep heading to the surface and let things play out.
Once the dialogue is finished you will unlock the trophy. You can either quit out to the village from the main menu or you can see the run through to the its conclusion, which will eventually put you back in the village anyway.