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 the scrolling shooter segment without dying, as a dinosaur.
Beat Rejected Green Clone universe in under a minute wearing a monocle and top-hat.
Eat every fatcake in fatcake universe with a hamburger for a face.
Play through Straightjacket Darkness universe without dying, with a horse head.
Finish Shotgun universe in under 60 seconds.
Collect all the hats.
Dance to the first boss and don't stop for nothing.
Finish the whole damn game.
Collect half the hats.