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