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