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