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