Puzzlings is one of my fav games. It is not like any other game. You can even use the built in camera (built into the game) to take a pic of your dressed of Puzzling with different backgrounds. Awesome game.
That game Radio Flare, can you use your own music, so the levels are based on your music a la Beat Hazard and Audiosurf?
I guess these can be labeled unique... Kung Fu Jumpu Sky Tourist Game of Watchcraft Wrestle Jump Knightmare Tower True Skate Freedom Fall Dungelot Blood Roofs (runner yes, but everything else in it is definitely unique. In fact, this one doesnt even try being a runner title) Anomaly Warzone Earth / Anomaly Korea (i dont think there is anything similar to this one yet, despite the popularity) EPOCH. (and Snowjinks, but it's a spinoff from the same dev)