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