If you liked "Everyday the Same Dream", you should try some of
Molleindustria's other games - each and every one a work of art, all quite different gameplay wise but most of them highly satirical/political in nature ("Oiligarchy" is my personal favorite - I recommend it whenever the topic of "serious games" is brought up).
"Everyday the Same Dream" is the most adventure-like of the bunch, but you can get a similar experience from their interactive music video
"Inside a Dead Skyscraper". Beautiful and haunting.
Edit: BTW, if you like these games, I strongly recommend you try Daniel Benmergui's
"Today I Die" and
"I Wish You Were the Moon", two of my favorite Flash games ever.