Here is the full list of all 39 Return to Monkey Island achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Reached The End In 2 Hours Or Less
Answered One Hundred Trivia Questions Correctly
Found Cogg Island
Answered Seventy-Five Trivia Questions Correctly
Answered Fifty Trivia Questions Correctly
Rescued Wally From Monkey Island
Explored The Entire Ocean Floor
Performed The Ole Switcheroo With The Replica Flag
Let The Lumpsucker Escape
Ahoy! More Than Twenty Times
Offered To Donate To The Earthquake Relief
Decked Out The Sea Monkey II With Spooky Skulls
Answered Twenty-Five Trivia Questions Correctly
Got To The Heart Of The Problem
Died For Real
Braved The Scorched Alaska
Listed Every Mess On The First Swab’s Report
Got Hired With All Four Mop Heads
Attempted To Steal The Cook’s Mop
Returned To The World You Know
Started Part Five
Collected More Than Twenty Trivia Cards
Found All The Copies of ‘At The End Of The Plank’
Became A Prize Chum
Answered Ten Trivia Questions Correctly
Gave Stan His Toothbrush
Told Everyone On Mêlée Island That You Are Looking For The Secret
Waited Patiently To See Carla
Did Gullet A Favor
Started Part Four
Thoroughly Examined All Of Wally’s Stock
Shared Your Luck
Fulfilled Your Restroom Obligations
Started Part Three
Swabbed The Hold Twenty Times
Started Part Two
Freed Otis
Convinced Cobb To Tell You About LOOM
Started Part One