Spoilers ahead. Achievements are listed in chronological order. Story achievements aren't included.

Stay in the pupil pod at the beginning of the game and keep looking outside.

Interact with all cube displays in the main lobby.

Jump into the pit without getting the glove. After SHI turns the funnel on, use it to reach the other side. Exit the funnel as soon as you enter it, so that the acceleration would be just right.

Push a trashcan to the end of a level.

This can be done in the very beginning of the game by pushing one of the trashcans from the main hall all the way to the Level 1 entrance.
The trickiest part is getting it out of the funnel when scaling up, so if that turns out to be hard for you, there are other ways to get the achievement later in the game.

Here's a vid by sunder: https://www.youtube.com/watch?v=plqGUsarD78

After getting the glove, make your way back to the main lobby and pull yourself upwards.

At the beginning of "Ascension", observe the art on the left of your starting point.

Just like the description states, pull one cube in "Garden of Gravity" over to the position shown in the screenshot. Hop onto it and pull yourself towards the exit.

Succumb to the lasers in "Now You Can Die."

At the beginning of "I Will Tell You At The End", look out the window above the green and blue cubes. Jump onto them for a better view.

There is an easier way that can be performed later in the game, so if you're struggling to get it on this level then scroll further down.

Push a trashcan all the way to the exit door. In this method it's obtained on "I Will Tell You At The End". Pretty straightforward.

Solve "I Will Tell You At The End" without breaking the glass. The method is up to you, but I personally did this:

During Curator's monologue in "The End!", don't do anything and just stare at the glass floor. Once the monologue is over, the shark will appear outside.

Just like with "What do these buttons do?", interact with all cube displays in the main lobby during the meltdown. I wouldn't put achievements over my own safety but you do you.

Credit to AlphaPhenix for figuring this one out.

This is by far the easiest way. There's a trashcan on the right side of the lobby during the escape sequence. As all the other trashcans in the main hall don't work, you'll have to push this specific one to the pupil pod.



Push it all the way to the glass ceiling, break the ceiling with some cubes, pay attention where the trashcan falls so that you wouldn't lose it and push it to the pupil pod. The achievement will be awarded once you push it all the way through.

Reminder that trashcans in the main hall don't trigger this achievement.