Please let me know if this guide has any inaccuracies.

The only missable achievement is Chatterbox, although it seems like this achievement is currently bugged and might require another play-through either way.

For the co-op achievements, they can be done either online, via Remote Play, or by simply plugging in a second controller.

Next Stop: Escape Academy
Escape "Introductions."


Entrance Examined
Escape "The Entrance Exam."


Paint Outside the Box
Escape "Escape Artist."


Ticket to Breathin' Town
Escape "Under Pressure."


Remote Rescue
Escape "The Breakout."


Don't Cry Over Spilled Milkshake
Escape "Trial By Taste."


Tea Hot to Handle
Escape "The Tea Kettle."


Machine Learning
Escape "Lab Rat."


Apex First Year
Escape "The Rival Room."


Stop, Drop, and Solve!
Escape "Where There's Smoke."


Detonation Denied
Escape "Tea 'N Tea."


School Sleuth
Escape "The Confrontation."


You've Escaped!
Escape "What Lies Below."

Lock Buster
Open 10 locks.


Key to the Campus
Open 30 locks.


Unmissable assuming you aren't skipping the solutions using a guide.

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Honor Roll
Earn a B+ or better on 10 Escapes.


Overachiever
Earn an A+ on 10 Escapes.


Seems to be bugged for some people, only the first clear on a room seems to count.
You can earn an A+ by finishing an escape within the given time limit and without using any hints.

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Killer Cardio
Sprint for over 400 meters.


This doesn't take long to get. Sprint is bound by default to Shift on mouse and keyboard.

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Chatterbox
Have 8 side conversations with characters on campus.


Seems to be bugged. Make sure to talk with everyone between every escape. You might need to start a second save file for this.

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Extra, Extra!
Read 10 different editions of "The Escapist Times."


Every escape has a newspaper that can be interacted with.
Refer to the: "Extra, Extra!" section of the guide for the specific location of these newspapers.

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Spin Specialist
Solve Eel's Rotating Chambers in under 8 moves.


Can be done on the escape: "The Rival Room"
Use the following sequence to solve the Rotating Chambers:

1. Purple > Clockwise
   
2. Green > Clockwise
   
3. Press the Circle, Spades, and Clubs
   
4. Green > Clockwise
   
5. Purple > Clockwise
   
6. Press the Triangle
   
7. Green > Counter-Clockwise
   
8. Press the Square and the Diamond
   
9. Green/Orange > Clockwise
   
10. Press the Heart

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Dead-Volt
Solve Eel's Battery Lock in under 10 moves.


Can be done on the escape: "The Confrontation"
Feed the power into the middle battery using the following sequence:

1. Left to Middle
   
2. Right to Left
   
3. Middle to Right
   
4. Right to Left
   
5. Left to Middle
   
6. Right to Left
   
7. Middle to Right

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Musical Prodigy
Find a way to play "Mary Had A Little Lamb."


Can be done on the escape: "The Entrance Exam"
After entering the hidden room behind the bookshelf (solution:Egypt > Japan > Greece), enter the following sequence into the piano:
EDC DEEE DDD EGG EDC DEEE EDDE DC

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Thresher Rusher
Escape "Under Pressure" in under three minutes.


This escape can be done in a swift manner by knowing the solutions beforehand.
Just rush straight for the ladders by entering the codes in the following order:

1. Fear
   
2. Will
   
3. Slow
   
4. Your
   
5. Mind

Groovin', Baby!
Solve Quanty's Disco Fever with a partner.


Can be done on the escape: "Lab Rat"
Solutions:
Vending machine: C4
PC: Square, Circle, Sqaure, Triangle, Circle
Lasers: Safer
Virus: 1101

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Exchange Students
Give at least 5 items to your partner.


Simply interact with the other player and hand over any items you have till you get this achievement.

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Study Buddies
Complete three Escapes with a partner.


Just beat the rooms like you normally would and this unlocks after 3.

Introductions
Located at the end of the stage before boarding the train.
Look for some phone booths near the train and the newspaper will be next to it.


The Entrance Exam
Located in the first room on the floor next to some couches.


Escape Artist
Located on the desk in the room you find the spray paint (teacher's office).
Solution to enter from top to bottom: Red, Purple, Yellow, Green


Under Pressure
Located in the first room on a shelf that also has a rubber ducky on it.


The Breakout
Located on the desk to the right of the door.


Trial By Taste
On a long table directly to a pair of steps.


The Tea Kettle
On a bench directly below the tree in the center.


Lab Rat
In the corner of the room with the rat between the TV and vending machine.


The Rival Room
Inside one of the orange boxes at the start of the escape.


Where There's Smoke.
On a desk in the corner of the room between the clock and the hourglass puzzles.


Tea 'N Tea
On the desk inside the back of the truck.
Solutions:
Tea crate: 143
NaNO crate: 1178
Door Buster: 60%, 10%, 30%


The Confrontation
In a trashcan next to the desk.


What Lies Below
Inside of the first locker directly to your left when you enter the room.