Here is the full list of all 9 No Time To Explain Remastered achievements. It takes around 5-6 hours to unlock all of the achievements on Windows.
Beat Rejected Green Clone universe in under a minute wearing a monocle and top-hat.
Play through Straightjacket Darkness universe without dying, with a horse head.
Beat the scrolling shooter segment without dying, as a dinosaur.
Finish Shotgun universe in under 60 seconds.
Dance to the first boss and don't stop for nothing.
Collect all the hats.
Finish the whole damn game.
Eat every fatcake in fatcake universe with a hamburger for a face.
Collect half the hats.