Here is the full list of all 34 Constructor achievements.
Get 5 police officers patrolling
Destroy an Undesirable Building
Capture 3 rival properties
Upgrade all Resources in one game
Fully stock all types of resources
Produce a fully weaponized Gangster
Have a single tenant produce 7 children
Produce 3 Gangsters
Pay $50,000 in Tax Bills
Get your first inmate
Have a guard dog protect a property
Cause a foreman to retire . . . permanently
Produce a Super-Tenant
Start an undesired house party
Maximise the efficiency of a foreman's work force
Create your first Gangster Bribe
Upgrade a Resource
Accomplish a council mission
Have 3 or more tenants with positive moods on one estate
Solve your first tenant complaint and be rewarded
Win a game
Build 100 properties
Build a commission on the original hardcore difficulty
Earn 100,000 in rent during a calendar year
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
Build your first commission
Cause infestation of 3 properties on Upper Colon estate
Install a top of the range computer in a property owned by the Major
Upgrade all rooms in one property
Evicting your 5th tenant in one game
Build 5 estates with 100% land usage