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