Here is the full list of all 58 Day of the Tentacle Remastered achievements. It takes around 3-4 hours to unlock all of the achievements on Windows.
Get all other achievements in the game
Reach yesterday without turning the stereo off
Cook the hamster in Maniac Mansion (Don't try this at home, kids!)
Flush 50 objects through time
Hoagie uses battery with Chron-o-John instead of plug
Try to sign the contract yourself with the quill pen
Talk to Washington, Jefferson, or Hancock while they're outside
Laverne tries the chattering teeth on her human during the human show
Laverne thinks about eating the cat
Try to microwave the hamster again after he's thawed out
Talk to Dead Cousin Ted with all three kids
Try to mix the red paint and the Booboo-B-Gone
Try to alter the contract with Booboo-B-Gone
Try to flush the hamster
Ring the front desk bell 100 times
Try to put something metal in the microwave
Try to mix the disappearing ink with Booboo-B-Gone
Try to mix the decaf and caffeinated coffees
Squirt five different people with disappearing ink
Try to wash the dirty car with the brush
Try to swap the textbook with the stamp album
Turn off the television
Sit through the end credits
Play the whole game without skipping a cutscene
Defeat Purple Tentacle yesterday
Acquire a diamond
Return the stamp album to Weird Ed
Pick up 45 things that don't belong to you
Play Maniac Mansion
Ask the IRS agents if they're related
Get Fred to sign the contract
Power Hoagie's Chron-o-John
Get a job
Red makes a super battery with only a little help from Hoagie
Power Laverne's Chron-o-John
Vacuum up a hamster
Get a tiny sweater
Close a door
Win the human contest
Make vinegar
Disqualify Harold
Deflate Oozo
Hoagie eats a Hoagie
Microwave the frozen hamster
Enter the human contest
Make a skunk
Make it rain
Pick up 30 things that don't belong to you
Clothe Laverne in the costume
Climb through the chimney with all three kids
Change the flag
Destroy a cherry tree
Create a cherry tree
Wake up Dr. Fred
Get all six novelty items
Open the safe
Pick up 15 things that don't belong to you
Find Fred's basement workshop