Hi EGOL,
Thank you for your response, and apologies for the delay responding, my English level is not perfect ... I'm better in French, it takes me time knowing and choosing the appropriate words to express myself.
Regarding the uniqueness of the content, it's kinda difficult with images based websites, as any new image posted on internet is found instantaneously on imgur, flickr, Photobucket, and a multitude of other websites, and I cannot ask contributors for exclusivity.
To remedy this issue, I've implemented an algorithm to smartly crop the original images by keeping intact their point of interest, which generate good quality wallpapers for a large choice of devices/ratio/resolutions (see example below)
http://goo.gl/5IzPRb Original
http://goo.gl/39ZzPg iPhone 5 version
http://goo.gl/laa9Je Twitter Header version
As you can see, the bird is emphasized, no matter the ratio or the size of the screen. Which makes it "unique" in my opinion, and add more value when compared to competition.
Let me please reformulate my question: What would cause Google to favor Competitor #1 over My website ?
Even on mobile, and for my main keywords (EMD), I see non mobile friendly websites rank way better then me.