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