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