Ask a DC about his/hers latest dream.
Like for example “What did you dream today?”
I have a hard one. Make a Stargate, with which you can go to other worlds, put it on a space station, and return there every night!
How about killing yourself in a dream? Has anyone tried it? Wonder what it would feel like…
I guess you would wake up with a racing heart. happens to me everytime I die…
How bout imagining that all u see around you is like a curtain or a screen. Then rip it apart and look whats behind it.
Searching our LD 's for lost things of this world. Where is Atlantis and what does it look like? What was the Library of Alexandria like? Who made the statues of Easter Island and how did they live? These questions and many others we will seek the answers to and hopefully receive them (at least the dream world version of them). Lets get digging!
Meet a god/goddess, like Zeus, Oden, Tor, Hermes,Ares, Ra, Anubis or Afrodite and so on.
Or any other Mytholgical creature/person, maybe try to meet some that has something to do with dreams.
I want to see how the gods live 
How about creating a tree fort? We could first make the tree and then the fort… however big and elaborate we wanted!
One of the things that I’ve been developing for when I actually have a lucid dream is the Information Center. For me this takes the form of a kiosk run by a balding man with glasses. It will appear anywhere I am (even flying) and is capable of giving me just about everything. Others can try it out and see what they get from it. =0) I’m going to use it mainly for directions, teleportation cookies, and reading material. =0)
Disintergrate yourself or other people.
Hmmm… if it should be a quest… how about complete body reconfiguration? Your head at your foot, your arms as legs, your legs as arms, etc.
I think I read someone mentioning something about a storyteller of dreams in QFL. So my suggestion is,
Find the Storyteller of your dreams,
or maybe more interesting
Find the Storyteller of your life
Sit back and watch a movie entitled, “All about Me”
some new quest suggestions from me
evolve a new sense
for example try to shout out “give me a new sense” and see what happens
Meet your Subconsious(Not SG)
find a dream friend(like the dream pet quest but find a friend instead of a pet)
jump into a book, (like LOTR for example) and see where you end up
find a magician and ask him to show his best trick
Try having two bodies but only one mind to control them of course, of course you could try with more bodies 
meet your favorit person from a movie/book / game
Ask a DC what you should do in the dream (alternatively ask DC what he/she thinks next quest should be)
ask a DC to take you to his/her favorite place
try to find the world’s best book/ game / movie and see what it is about
–Ask a DC what you could do to improve yourself. (sorta like getting criticism, but in a self-help sorta way )
–Ask a DC to introduce you to other DCs till you have a whole motley crew of dream buddies. 
Create a ‘Dream Bank’ and see what you can withdraw.
fight against your subconsious, and try to kill her/him/it 
… if you dare 
Very nice suggestions! Now for my own;
Find the machine / tool that controls your dream body. This being said, you find some machine or tool that has the ability to override and control your dream body.
create a planet i have one under construction
thanks Python Angel
a new suggestion; plant a seed and see what grows up
I got the idea from my Harry Potter dream, [community.ld4all.com/t/im-an-addict/14474/25)
where soomone assumed a HP-book what grow up like a plant.
EDIT: look at the list in the first post and saw that someone had already suggested this
i like that suggestion magnus. it’s cool!
Thanks for noticing, Magnus. I’ve been so busy, but I’ve been trying to not let my duties slide (including updating the quest suggestion list). It’s become a monster!
thats a good idea magnus!
how about trying to make a garden or something along those lines, and like plant some seeds for flowers n trees and then in your lucid dreams try to visit that place and see if they grow!