Apparently it's The Labyrinth of Time but I only guessed it because of the Daedalus hint

It is indeed the Labyrinth of Time. Which you can buy HERE.

In the game, King Minos is making Daedalus build the Labyrinth (against his will) so he can use it to rule the universe. Daedalus is able to call you into the Labyrinth to help him. You are a mere mortal and must travel through time and space (within the Labyrinth itself) and solve many puzzles to stop Daedalus from completing his task.

It was a game similar to MYST, but had more interaction, as well as a fairly extensive Inventory system.

Oh, and if you turn 180 degrees from the picture you posted, there is another wall with similar display cases, which is what I based mine on.

Here are some Screenshots from in the game itself. http://www.wyrmkeep.com/labyrinth/screenshots.html
I highly recommend people try it out.

Should be very easy

I got it, but I'll let someone else guess it.

Anomaly Warzone Earth. My favorite indie of 2011.

Sure! I'm playing it right now

Missile Command?

Duke It Out in DC?

Nope and nope.

Hint - Since the previous picture turned out to be my favorite indie game of 2011, I decided to draw my favorite indie game of 2012.

I was going to guess TellTale's Sam and Max until you said that last bit. I might guess it anyway. What harm could it do?

Worms in D.C.

I'm afraid you're a victim of the old trap my friend.

Real Answer: Worms in Legoland

Resonance

Correct! Your turn!