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