Here is the full list of all 58 Day of the Tentacle Remastered achievements. It takes around 5-6 hours to unlock all of the achievements on Windows.
Get all other achievements in the game
Reach yesterday without turning the stereo off
Laverne thinks about eating the cat
Try to microwave the hamster again after he's thawed out
Cook the hamster in Maniac Mansion (Don't try this at home, kids!)
Talk to Washington, Jefferson, or Hancock while they're outside
Try to alter the contract with Booboo-B-Gone
Ask the IRS agents if they're related
Squirt five different people with disappearing ink
Try to swap the textbook with the stamp album
Turn off the television
Flush 50 objects through time
Ring the front desk bell 100 times
Sit through the end credits
Play the whole game without skipping a cutscene
Defeat Purple Tentacle yesterday
Power Hoagie's Chron-o-John
Hoagie uses battery with Chron-o-John instead of plug
Power Laverne's Chron-o-John
Pick up 45 things that don't belong to you
Vacuum up a hamster
Red makes a super battery with only a little help from Hoagie
Win the human contest
Disqualify Harold
Get a tiny sweater
Try to flush the hamster
Microwave the frozen hamster
Try to put something metal in the microwave
Laverne tries the chattering teeth on her human during the human show
Enter the human contest
Talk to Dead Cousin Ted with all three kids
Make vinegar
Make a skunk
Clothe Laverne in the costume
Climb through the chimney with all three kids
Try to wash the dirty car with the brush
Make it rain
Change the flag
Acquire a diamond
Get Fred to sign the contract
Wake up Dr. Fred
Try to mix the decaf and caffeinated coffees
Get a job
Play Maniac Mansion
Try to sign the contract yourself with the quill pen
Try to mix the red paint and the Booboo-B-Gone
Try to mix the disappearing ink with Booboo-B-Gone
Open the safe
Pick up 30 things that don't belong to you
Deflate Oozo
Hoagie eats a Hoagie
Get all six novelty items
Destroy a cherry tree
Create a cherry tree
Pick up 15 things that don't belong to you
Return the stamp album to Weird Ed
Close a door
Find Fred's basement workshop