Successfully complete the indicated task to unlock the corresponding award. To view them, select the "Extra" option at the main menu, then choose the "Awards" selection.

Brings a Tear to My Eye: Get a gold medal on all Story levels.
Extinction Eclipse Grand Ultimate Demon Overkill Supreme!: Successfully complete a level with an Eclipse finisher (a combo of 50 or more) ten times.
Got it... dropped it!: Break a combo of exactly 50 (i.e. immediately after reaching 50, jump on the platform you have already touched).
I AM THE DUKE!: Get a gold medal on all Score Attack levels.
Muahahaha! Fries with that Combo?: Successfully complete a level with a Highest Combo of 150 or more.
My Princess!: Get a gold medal on all levels.
Oh no you don't!: Defeat a monster at the top of the level, just before it escapes.
One to winged Demon Trophy: Successfully complete all levels (including Score Attack levels).
Stone Cold Climbin': Successfully complete a Score Attack level with a perfect combo, including every platform.
Super Suplex: Successfully complete a level with a Suplex finisher (a combo of 1 to 29) ten times.
Supersize Combo: Successfully complete a level with a Highest Combo of 200 or more.
Wings of Sin: Successfully complete a level with a Wings finisher (a combo of 30 to 49) ten times.