Lyric discussion by wasnt 

Cover art for 1000 Dreams lyrics by Miss Kittin and the Hacker

I personally think the meaning of this track is to search for your true meaning, because those "dreams" is of reaching your destiny because if you don't your life will become a psychological loop of no subconsciousness, no ambition, no anything. You need to take a leap of faith in yourself and wake-up to find your true meaning because if you don't it'll become "1000 Dreams":

"A new day, a new dream Waking up but still sleeping All the time remembering Pictures of your 1000 dreams"

"Again and again and again and again the same dream…”

It could be that Miss Kittin & the Hacker are explaining how you can wake up in a new day and continuously daydream these same dreams just to only maintain them as such. They just become pictures, stilled memories of emotions/thoughts ingrained but in the next stanza:

"Is it too exhausting To be in the wondering? Don't you know it will repeat Until you find the meaning?"

They're stating isn't it so tiring to still have these thoughts? Don't you know your psyche will continue to repeat these "1000 Dreams"? Until you find the meaning of it. Instead of withholding, dazing, and not going for it... do the opposite and handle whatever it is! It's your destiny!

"Another chance, take a break Face to face, big escape Rewind and sublime 1000 dreams to reach the one"

Take another chance and relax, face it, and escape. If it rewinds and sublimes it's okay, keep going to reach THE ONE. Don't stop because if you do... 1000 Dreams.

My Interpretation
Positive
Subjective
Enjoyment
Self-discovery
Ambition
Destiny
Repetition
Awakening