You will unlock these achievements while you progress.

Quick Understanding Of Block Extrusion
Complete the tutorial


Sector 1, Completed
Complete Sector 1


Sector 2, Completed
Complete Sector 2


Sector 3, Completed
Complete Sector 3


Sector 4, Completed
Complete Sector 4


Attractive
Complete the series of magnet puzzles in Sector 5


Sector 5, Completed
Complete Sector 5


Tough Going
Complete the hardest puzzle in the game


Sector 6, Completed
Complete Sector 6


The Ball
Complete the second ball puzzle in Sector 7


Sector 7, Completed
Complete Sector 7


Fizzicks
Complete the final physics puzzle


Finale
Complete Q.U.B.E.

• You need to wait a bit at the Credits to unlock this achievement.

BETA Complete Me 1
Complete the hidden beta puzzle in Sector 4

• At the moment when you solved your second puzzle at the level, instead of leaving, turn to your left and go to hole in the wall. Note: Wait for platform to fully rise or it can be bugged.

You can check a guide with visuals about the BETA achievement from here:
https://cs2bus.com/sharedfiles/filedetails/?id=265092170
Behind The Scenes
Find the hidden area in Sector 5

• You need to find the hidden area in Sector 5. When you are in a room which has the shape of inverse pyramid, go left through the wall.

Push Me To Completion
Push the ball in the hidden area to the end

• When you are in the hidden area, you will see a ball on the ground. Just press reset and push the ball to the hole.

BETA Complete Me 2
Complete the hidden beta puzzle in Sector 5

• There is a simple "puzzle" at the end of hidden area. Solve it to unlock achievement.

If you need a visual aid for sector 5 hidden area achievements, check this guide for videos:

https://cs2bus.com/sharedfiles/filedetails/?id=132973251

Find The Developers

• When you are at the second puzzle, don't try to solve the puzzle. Instead, jump from wall to sloppy part. Then move a bit and go through the doorway.

You Can't Bring Them Here!
Attempt to extrude the developers

• After finding developers, you need to click on them.

If you need a visual aid for achievements related to developers, check this video:
https://www.youtube.com/watch?v=OcjVuJpmCjo
BETA Complete Me 3
Complete the hidden beta puzzle in Sector 6

• When you are in a huge door with balls on the ground climb the stairs while looking for a pathway you can walk. At the end of pathway, you will see a hole in the wall, go through it.

You can check a guide with visuals about the BETA achievement from here:
https://cs2bus.com/sharedfiles/filedetails/?id=265092170

There are mainly two types of achievements in this part: Speedrun and Minimum Moves. Other than these achievements, there are two unique achievements and a participation trophy:

Everyone's A Winner Baby
Winning a race for the first time

• You just need to finish a level for this achievement.

Hopscotch
Jump on certain cubes in sequence

• This achievement requires you to go to the right side after first jumping sequence in "Ruin Rush". Then you need to raise the red block at least twice to spawn low gravity boost. With the help of the boost, you need to cross pillars by stepping on them and you are aiming to reach to the left side. Achievement will unlock after picking up the time boost. Check the guide at the Speedrun for visual aid.

Whatever Floats Your Boat
Don't touch the floor

• You need to finish "Hover Headway" without touching the ground between the green checkered bars. Check the guide at the Speedrun for visual aid.

If you think it is too hard for you, you can use a save file to unlock speedrun achievements. Check the other section for save files.

All Rounder
Get 3 gold medals in every level

• You need to earn gold medals in every level. It isn't hard as it's sound. You will unlock this when you have completed all of the speedrun achievements.

Other speedrun achievements are pretty hard. You can check this guide to see how it's done:
https://cs2bus.com/sharedfiles/filedetails/?id=143937963
These times are according to Kirenio's (publisher of the guide above) measurements and they are only approximate, the exact times haven't been published by developers.

Speedy!
Beat the Developer's Time in SPEED WAY

• Finish the level in 17 seconds.

That Was Easy
Beat the Developer's Time in PLANS FOR FANS

• Finish the level in 33 seconds.

Beat That.
Beat the Developer's Time in ROTATION STATION

• Finish the level in 45.89 seconds.

Another Hope
Beat the Developer's Time in A NEW HOPE

• Finish the level in 47.76 seconds.

Psychedelic
Beat the Developer's Time in NEON NIGHTMARE

• Finish the level in 33.13 seconds.

Done It With My Eyes Closed
Beat the Developer's Time in LOST

• Finish the level in 27 seconds.

Tick, Tick, BOOM
Beat the Developer's Time in TIME BOMB

• Finish the level in 58.94 seconds.

Cutting It Fine!
Beat the Developer's Time in RUIN RUSH

• Finish the level in 56 seconds.

Toxic Who??
Beat the Developer's Time in HOVER HEADWAY

• Finish the level in 33 seconds.

Spaced Out
Beat the Developer's Time in SPACE RACE

• Finish the level in 84 seconds.

You only need to know that miss-clicks and boosts don't count as moves to unlock these achievements.
You can check this guide to find out how to finish levels with minimum moves:
https://cs2bus.com/sharedfiles/filedetails/?id=143775232
2 + 2
Complete SPEED WAY in the least amount of moves

• You need to finish level with 4 moves.

6 - 2
Complete PLANS FOR FANS in the least amount of moves

• You need to finish level with 3 moves.

5 x 3
Complete ROTATION STATION in the least amount of moves

• You need to finish level with 13 moves.

4 x 4
Complete A NEW HOPE in the least amount of moves

• You need to finish level with 16 moves.

200 / 10
Complete NEON NIGHTMARE in the least amount of moves

• You need to finish level with 16 moves.

10 + 15 - 20
Complete LOST in the least amount of moves

• You need to finish level with 4 moves.

20 x 3 / 6 - 7
Complete TIME BOMB in the least amount of moves

• You need to finish level with 2 moves.

2 + 2 x 4 / 8
Complete RUIN RUSH in the least amount of moves

• You need to finish level with 0 moves.

7 x 7 + 21 / 10
Complete HOVER HEADWAY in the least amount of moves

• You need to finish level with 7 moves.

8 * 9 / 5 - 7.4
Complete SPACE RACE in the least amount of moves

• You need to finish level with 7 moves.

Even though it says 7 moves, you need to aim for 9 moves. Game doesn't count 2 moves (probably last move and third move to last). You can check the video guide for more information.

If you do not want to waste your time with these annoyingly grindy achievements, check the save files section.

Obviously you need to make moves to get these achievements.

Over Time!
Make 1,000 moves


No Sweat!
Make 1,000 moves in Time Trial mode



You need to walk aimlessly for these achievements.

If I Can Walk 10,000 Miles
Travel 10,000 metres


Then I Can Walk 90,000 More!
Travel 100,000 metres



Many many boosts/pickups needed for these achievements.

Collector
Collect 250 pickups


Hoarder
Collect 1,000 pickups


You've Got A Problem
Collect 10,000 pickups



You need to play levels to get these achievements playing the DLC 500 times will give you "Q.U.B.E. Master" achievement.

Repeat Offender
Play the game 100 times


Q.U.B.E. Master
Play the game 500 times

If you do not want to waste your time on grindy achievements or developers' time is frustrating for you, you can use a save file to unlock these achievements. You need to play to unlock grind achievements after copying the save files and finish the levels once after copying the save files for "Against the Qlock" achievements.
Save files are under "steam\steamapps\common\QUBE Directors Cut\Binaries\Win32" directory.

https://drive.google.com/file/d/1ypntdDcrc0ymrSBfnQgOMLdiVmefPC6n/view?usp=sharing

Originally this solution is from the guide below but I provided my save files with full progress. Don't be shy to like the guide below:
https://cs2bus.com/sharedfiles/filedetails/?id=1320935508

These are the resources that I used in my guide:
https://cs2bus.com/sharedfiles/filedetails/?id=265092170
https://cs2bus.com/sharedfiles/filedetails/?id=132973251
https://www.youtube.com/watch?v=OcjVuJpmCjo
https://cs2bus.com/sharedfiles/filedetails/?id=143937963
https://cs2bus.com/sharedfiles/filedetails/?id=143775232
https://cs2bus.com/sharedfiles/filedetails/?id=1320935508
I would be glad if you check their guides/videos too.

• Also, thanks to Tarrare, Endruv, HighRoller , Zet and tasselfoot for providing information and correcting the mistakes.

Thank you for checking my guide. If you have any suggestions or if you see any mistakes (information, typo, etc.), please let me know. Have a nice day!