Dawn has had a few of these, both issued and recieved…
There’s the martial ones (duels for various folk, different weapons won with), social ones (philosophy problems, people to find, tales to tell…), the functionally impossible ones (“go kill this immortal”) and so on…
Find a story or tell it to a specific person.
Collect a trophy of token from someone/where dangerous
Make something (maps, cakes, swords, friends…)
Discover a secret
Gain respect and a character reference from X
Socially assassinate (a bit trickier that one)
Get a thing built/demolished…
Quests (Tests of Mettle, Ardour, Resolve, and the like) that have been set in Dawnish history (or play!) have included…
Bind the Dusk to the Dawn
Beat, in single combat, 1 of each nation, and each lineage, and at least one egregore.
Heal two score different fallen knights of Dawn from the brink of death, on the field of battle.
Restore the Fortress of Dawnguard to glory
Bring me a stick from the Forest of Peytaht.
Publicly confess the failures and shortcomings of your House.
Bring me the head of a Dire Boar.
Go kill a basilisk.
Ask of all of Dawn who you can, “What is Love, and what is Glory?” And return to me with what you have learnt.
…and the last one set to a ruling King of Dawn…
“Bring Dawn into the Empire”…
Does that help?