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