Let's have a little fun here...
There a certain DT songs that put me in mind of other bands or artists, even other SONGS.
I'll give a few examples to start us out, and hope to see LOTS of others on here...
-Surrounded makes me think of more "pop"-sounding prog bands such as Styx and Asia
-6:00, to me is kind of Deep Purple Style. Actually makes me think of "Space Trucking" for some reason.
-A Change of Seasons, the way I hear it, is like a much heavier version of Yes's "Close to the Edge."
-Wait For Sleep, The Silent Man, Hollow Years and some of their other ballads are like some of ELP's songs, such as "lucky Man" and "From the Beginning."
-Trial of Tears and Repentance make think of Kansas. Repentance seems very similar to "On the Other Side." And ToT reminds me a bit of "Carry On Wayward Son."
-The Count of Tuscany and Enigma Machine are two really good examples of their Rush influence.
...you get the idea, so let's HEAR some!