×First Level
But You Can't Hide (6N2W): Don't hide in the alcove
All Together, Now... (6N1W): Kill the roaches in nine consecutive turns
Who Let the Roaches Out? (5N2W): Open all the doors before killing any roaches
Ahead of the Game (3N2W): Kill the roach facing East

Second Level
Cornered in the Centre (2E): Don't let the queen reach the NE corner
Gone in Thirty Seconds (2S2E): Clear the room before roaches spawn
Efficient Smitemitery (2S3E): Allow only one roach to spawn
They're Behind You! (1S): Don't turn after striking the orb

Third Level
Look to Westward (3N1E): Kill everything but the queen facing West, and kill the queen last
No Scroll Left Behind (2N): Read the scroll without re-entering the room
Three in a Row (2N1E): Kill the roaches in three consecutive turns
Hidden in Plain Sight (1N2W): Don't drink the invisibility potion (Note: This room does not exist in the AE-based version.)
What's the Time, Mr Roach? (1N1W): Bump the western wall before killing any roaches
Straightforward Smiting (1N1E): Don't drink a mimic potion or break the crumbly wall
The Enemy is Sleeping (1S2W): Don't wake any eyes
Opportunity Strikes Just Once (1S1W): Strike the SW orb only once
Five Orbs of Bill (1S): Strike only five orbs
Nine in a Line (1S1E): Kill the roaches in nine consecutive turns
Vandalism! (2S2W): Break all crumbly walls before killing the roach
One Direction to Escape (3S1W): Don't turn after striking the orb

Fourth Level
No Retreat (1N): Don't retreat into the entrance hallway
That Never Goes Out of Style (2E): Stand on the scroll with all nine mimics lined up to your right
Mimic on Holiday (1S1E): Place the mimic on the SW island
Not So Pretty in Pink (1S2E): Drop all trapdoors in the same visit as clearing the room
We All Fall Down (2S1E): Drop all trapdoors in the NW box, in the same visit as clearing the room

Fifth Level
Moderate Smiter (2N): Don't strike any orbs, and don't enter an area that requires orb-striking to leave
Bishop's Tour (2E): Don't move orthogonally
Don't Fence Me In (3E): Don't strike the orb
Highly Visible Ninja (2S): Don't turn and don't drink the invisibility potion

Sixth Level
None

Seventh Level
The Wyrm That Turned (3N): Don't cross the western force arrow
Up, Up, Down, Down, Left, Right, Left, Right (3N1E): Kill the NW queen first, then the SE queen
Superior Master Intellect (2N1W): Don't let the queen cross the vertical yellow door
All Quiet on the Western Front (2N): Don't cross the western yellow door
The Smiter Always Strikes Twice (2N1E): Strike the orb only twice
From the Outside, Looking In (2N2E): Don't enter the one-tile-wide passage bordering the western pit
He Who Fights Serpents (1N): Don't move diagonally
No Way Out (1N1E): Kill the serpent in the SE corner
Eyes on the Prize (1E): Don't turn your sword
Who Needs Orthosquares? (1S): Don't move diagonally

Eighth Level
Rapid Tar-Cleaning Service (4S2E): Clear the room by turn 60
Non-sustainable Growth (4S3E): Clear the room by turn 30 (without clearing, unclearing and re-entering)

Ninth Level
Exactly as Planned (1N): Strike all three northwest orbs, the western one last
All Set Up and Ready (2N1E): Don't strike any orbs after emerging from the force arrow corridor

Tenth Level
Don't Drink and Smite (1S): Don't drink the mimic potion
Hold On Five Seconds (1E): Wait for five turns after striking the orb

Eleventh Level
None

Twelfth Level
Let's Not Go Round Again (1S): Clear the room before going round the loop
Only the Even Numbers (1S2E): Don't move diagonally, wait or turn your sword
Solo Serpent Slaughter (2S1E): Don't drink the mimic potion

Thirteenth Level
Unlucky for Some (2N2W): Enter the room (Note: This room is impossible to enter in the AE-based version, and so there is no challenge.)

Fourteenth Level
Dungeon of Broken Orbs (2N2E): Don't use the orb nearest the middle of the room or the SE orb
Preserving the Ancient Ruins (1N1E): Don't break any crumbly walls
Speed Chess (1N3E): Clear the room by turn 20
Keep Dugandy Tidy (1E): Clear all tar (in the same visit as clearing the room)
It's a Trap! (2E): Don't drop the trapdoor
With Slanting Sword (1S): Face diagonally and don't turn
What the Eye Doesn't See (1S1E): In the last area, kill both goblins before killing or waking any eyes
With Steady Sword (2S): Don't turn your sword

Fifteenth Level
None

Sixteenth Level
First Things First (Entrance): Clear the room from the level start
Limited Growth (2E): Kill the tar mother before it grows three times
From the Other Side (1S): Kill all roaches entering from the east (it is impossible to also clear the room)
Stunted Growth (1S1E) Kill the tar mother before it grows
Bad Boys Love Their Mamas (2S1E): Kill the tar mother last

Seventeenth Level
Spring Cleaning (1N1W): Clear all tar and kill the tar mother last
Short Circuit (1W): Clear the room and reach the green door by turn 240
A Good Clean Kill (1S2E): Kill the serpent before any tar babies form
Aim for the Eyes (2S1E): Kill the tar mother first

Eighteenth Level
Assassinate the Queen! (2N2E): Kill the queen on turn 1 (and clear the room)
Leave No Stone Turned (2N3E): Don't break any crumbly walls
Sonata for Unaccompanied Smiter (1N1E): Kill the goblin where he starts and don't drink the mimic potion
He Came From the East (1N2E): Clear the room from the east
Come and Join the Party (1E): Drop the trapdoors before any serpents die

Nineteenth Level
The Lazy Smitemaster (2S): Stay in the top two rows
There's Always Another Solution (2S1E): Don't break any crumbly walls

Twentieth Level
Stupid Goblins! (3N1W): Kill all brains before killing any goblins
Worthless Snakes! (3N1E): Kill all brains before any serpents die
Who Needs All These Buttons? (2N): Don't close the doors around the room with the scroll
Mother Knows Best (2N1E): Hit the orb, then kill the mother, then kill the brain
Outsmart the Brains! (1N2W): Kill the serpent before striking the southern orb
Choose One Way and Stick to It (Entrance): Don't turn after killing the first roach

Twenty-First Level
They Just Keep On Swarming (1N1W): Don't drop any trapdoors
Seeing Triple (1N): Drink only three mimic potions
Roaches and Goblins and Queens, Oh My! (1N1E): Release the goblins by turn 30
Sniper! (1S1E): Kill the eastern queen before the northern queen, and kill the northern queen before dropping either of the SE trapdoors

Twenty-Second Level
Mimics Were Born Free (1E): Don't strike either of the northern orbs
Keep Your Head Down (1S2W): Kill all roaches before entering the top three rows of the room east of the green door

Twenty-Third Level
Master Snake-charmer (1N1W): Kill two serpents in the dead end where the goblin starts
Three's Company (1N): Drop the red door before killing a goblin
Don't Step on a Crack (2W): Don't break the southernmost crumbly wall, and don't drop any of the trapdoors around the orb
Who'd Trust a Goblin, Anyway? (1S3W): Don't use the goblin to kill the serpent
Round and Round the Garden (1S2W): Drop all trapdoors before killing anything
The Eyes Have It (1S1W): Kill all the goblins before anything else
Goblin-Free Zone (2S): No goblin may step on a trapdoor

Twenty-Fourth Level
A Pair of Blue Eyes (1N): Kill the tar mother last
Friendly Enemies (1N1E): Don't use a roach to kill the serpent
My Turn at the Controls (2W): Don't use the mimic to strike any orbs
Attention to Detail (1W): Kill all serpents before killing all brains

Twenty-Fifth Level
Worthy Opponent (1N2W): Kill the SW queen last
Pacifist Run (2W): Don't kill any goblins
Runnin' Through an Open Door (2S1W): Never stand on a closed door
A Maze of Many Ways (2S): Don't go through the SE U-bend

×I cleared all the tar except the two tiles above the eyes, which I can't clear without stabbing an eye. And I still didn't get the achievement.

×Get a 2x3 blob with the eyes on the end

XX
XX
OO

Then stab the tar in the usual spot to leave the tar mother on her own