I have some more ideas to add:
All Characters Starting fom New Game, collect all of the characters in the game, these include the main story characters (Link, Impa etc.) but also Great Fairies, Monk Maz Koshia, Terrako and Calamity Ganon. Timing ends on the final character unlock screen.
Playing the Game Wrong Starting from New Game+, play every level where the game tells you not to kill an enemy (such as the Molduga in Urbosa, the Gerudo Chief) and kill that enemy. Timing starts when you start the first mission, and timing ends on the final mission's clear screen.
Hyrule's Defense System Starting from New Game+, play through every level with the word 'Defend' in its title (Defend Hyrule Castle, Defend the Sands, etc.). Timing starts when you start the first mission, and timing ends on the final mission's clear screen.
Hopeful Hyrule Starting from New Game, clear a set number of 'The Hope of...' quests. It could be 3, or 5 or any other number. Timing ends on pressing A to collect the reward from the final 'The Hope of...' quest.