Here is the full list of all 20 RESCUE 2: Everyday Heroes achievements.
Extinguish 100 fires
Save 10 people
Get a Ladder Vehicle
Extinguish 10 fires
Get a Water Tender
Get a Defibrillator
Get a Foam Mixer
Save 100 people
Extinguish 10 liquid fires
Extinguish 10 electric fires
Turn power off 20 times
Defibrillate 10 victims
Break some doors
Break more doors
Get Station 2
Get Station 3
Gain full reputation
Hire 13 personnel
Gain full rank for a firefighter
See it all, do it all