Here is the full list of all 25 Landlord's Super achievements.
Retire before 1984
Get caught earning while claiming Job seekers allowance and invalidity benefits
Skip the tutorial
Retire in a house worth at least 40k
Get banned from the pub
Become permenantly afflicted from smoking
Go to Jail
Pee on the bus stop
Climb ladders for 306 steps
Accumilate £100 from benefits
Rent out a property that is 25 squared metres or smaller
Perfectly Satisfy a Yuppie tenant
Rent out a property with 3 floors
Perfectly Satisfy a Grafter tenant
Sample every type of alcohol in the game
Purchase all items from the tool catalogue
Read 20 newspaper articles
Mix perfect concrete, mortar & No-Fines
Perfectly Satisfy a Lout tenant
Roll a jackpot
Place a roof tile in the rain
Become obese
Complete 3 jobs around town
Lay a brick
Make £100 selling scrap