Here is the full list of all 68 LISA achievements.
The breeding ground.
I'd change everything if I could.
Guidance.
Walk the path alone.
False God.
The resting place of the Darkness.
Got it!
His Hot Fire is even hotter in Hell.
The birth of Red Skull.
Finish with both arms.
Finish with no arms.
Find the relaxing researchers.
Giving in feels good.
...
It's too late to fight it...
Finish with one arm.
Welcome to Hell.
Recruit Sonny Backluwitz.
Kill Satan.
Reach the Snowy Peak.
Recruit Buffalo Van Dyke.
Witness the fall of the Salvation Rangers.
Race Columbo.
Recruit Crisp Ladaddy.
Reach the third crossroads.
Recruit Rooster Coleman.
Recruit Clint Olympic.
Recruit Garth.
Learn the ways of the Bob Friday.
Recruit Ollie Nickels.
Watch a well executed suicide.
Recruit Fly Minetti.
Recruit Carp.
Recruit Geese Thompson.
Recruit Buckets.
Kill all the Rouletters.
Recruit Harvey Alibastor.
Find the Fishmen.
Break the Streak, win the title.
Recruit Shocklord.
Win the tag titles.
Recruit Queen Roger.
Recruit RT.
Recruit Bo Wyatt.
Recruit Birdie Hall.
Recruit Ajeet Mandeep.
Recruit Jack.
Recruit Tiger Man.
Recruit Yazan Barghouti.
Save Buddy.
Kill the doctor.
It can't be...
Recruit Dick Dickson.
Reach the second crossroads.
Meet the Red Skull Rando
Recruit Percy Monsoon.
Recruit Fardy Hernandez.
Kill the Men's Hair Club Presidents.
Recruit Mad Dog.
Recruit Beastborn.
Recruit Rage Ironhead.
Recruit Olan Hyot.
Meet Buzzo.
Recruit Nern Guan.
Reach the first crossroads.
Recruit Terry Hints.