In order to get the secret Multiverse Correction cutscene, you need to:
-Get every single fail and ending in every Henry Stickmin game.
-Head to the "Toppat 4 Life" route.
-When at the final choice screen, click on the sticky notes until a meter marked Multiverse Imbalance shows up.
-Press the button marked FIX.
-Enjoy cutscene.