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