Basically, you just have to wait for a random event if you want a quest from the Air, Battle, Crafting, Dark, Earth, Fire, Light, Water, Space, Fountain, or Queen faeries unless you want to spend neocash.
If you are willing to spend Neocash, you can buy a Faerie Quest Fortune Cookie when they are available. They guarantee you one faerie quest a day from any one of the above faeries (except the Crafting Faerie) for a week.
It is also worth noting that there are three other special faeries: the Snow Faerie, Jhudora, and Illusen. The Snow Faerie will grant you a quest whenever you visit her on top of Terror Mountain. Jhudora grants a quest every 12 hours if you visit her on her Bluff in Faerieland, so long as you also have not done a quest for Illusen in that time. Likewise, lllusen grants a quest every 12 hours from her Glade in Meridell, as long as you haven't done a quest for Jhudora in that time.
The Rainbow Fountain works on Neopets if you are a Neopets mod, or if you have a Fountain Faerie quest.
By planing and winning the Key Quest game
The answer was Key Quest.
I am Not sure cause I don't play Neopets.
buy a plushie for real
Buy what it wants and bring them to it.
Any faerie quests on Neopets are completely random. You must wait for them to appear.
If you complete two Esaphogor quests, he will give you the answer to a brain tree quest.
This must be a Brain Tree quest. Do the Esophagor quest 2 times (first time gives you when and second where the neopet died). Do the quest after you have accepted the Brain Tree quest. That should give you the answer. All of the neopets the Brain Tree asks about are all in his head.
He is the monster on Neopets where he ask you to do a quest, then if you complete it, he will tell you one of the two answers of the brain Tree"s quest.
Water Faeries will raise your defence
You have to do an extremely rare Fountain faerie quest.