Here is the full list of all 34 Constructor achievements.
Get 5 police officers patrolling
Capture 3 rival properties
Build 100 properties
Build your first commission
Earn 100,000 in rent during a calendar year
Start an undesired house party
Get your first inmate
Install a top of the range computer in a property owned by the Major
Fully stock all types of resources
Upgrade all Resources in one game
Cause a foreman to retire . . . permanently
Produce a fully weaponized Gangster
Pay $50,000 in Tax Bills
Produce a Super-Tenant
Create your first Gangster Bribe
Produce 3 Gangsters
Build 5 estates with 100% land usage
Destroy an Undesirable Building
Have a guard dog protect a property
Maximise the efficiency of a foreman's work force
Accomplish a council mission
Have a single tenant produce 7 children
Solve your first tenant complaint and be rewarded
Upgrade a Resource
Upgrade all rooms in one property
Have 3 or more tenants with positive moods on one estate
Win a game
Build a commission on the original hardcore difficulty
Have a worker knock out 5 enemy workers without dying
Play all maps for at least a year each
10 or more simultaneous complaining tenants
Picket 3 rival resources simultaneously
Cause infestation of 3 properties on Upper Colon estate
Evicting your 5th tenant in one game