Here is the full list of all 38 Rescue Team 7 achievements.
Remove an obstruction to rescue a victim.
Cleanse polluted waters.
Demolish any building and then build a new one in its place.
Build the pier, acquire the boat, and rescue the people that are in the water.
Turn the valve on the pipe to stop the gas leak.
Use dynamite to blow up a large obstruction.
Use the crane to build a suspension bridge.
Use your dogs to find five people buried under debris.
Send the dog to chase away a snake.
Use the pump to drain a flooded area.
Wait until five houses are on fire. (Do not try this at home!)
Retrieve the cargo delivered by train.
Use the boat to transport someone from one bank to another.
Build a fire station and then put out any fire.
Receive the message about failing a mission. Better luck next time!
Survive a volcanic eruption.
For driving away every bat on level five.
For building the hospital and healing every person on level six.
For building the police station and driving away the thieves on level seven.
For receiving the resources airdropped on level eight.
For turning on every power converter on level 10.
For assigning tasks to two workers from different bases at the same time on level 11.
For turning off the drilling rig valve on level 15.
For calling the helicopter to deliver medicine on level 16.
For calling every helicopter but never letting one land, and for earning three stars, on level 21.
On level 22, turn on the lights every night so the plane can land at least once per night.
For rescuing four people using the lift on level 25.
For removing every obstacle, and for earning three stars, on level 26.
For restoring every demolished building on level 28.
For gathering 10 people at the railway station, and for earning three stars, on level 29.
For finding and rescuing a dog or cat on level 33. Be careful! They might scratch and bite you!
For sending a dog to rescue people in the water on level 33.
For blocking any person trapped in fog on level 36.
For keeping every fire burning on level 46.
For saving $300 on level 47.
For searching all of the plane wreckage on bonus level 1.
For removing all of the plane wreckage on bonus level 15.
For restoring the location station on bonus level 20.