Here is the full list of all 44 Rescue Team: Planet Savers achievements.
For demolishing a building in order to build a new one in its place.
For using the Ozonizer to purify a river or lake.
For using the detonator to blow up a rock slide.
For using the crane to build a bridge.
For using the rescue dogs to search five caves on level 21.
For using the power pump to drain four flooded areas on a single level.
For receiving a train delivery.
For putting out a fire.
For scattering all the bats.
For repairing 25 hospitals.
For arresting every thief on level 27.
For picking up air-dropped resources.
For repairing five street lights.
For removing all the debris on level 43.
For restoring every house on level 17.
For feeding a campfire.
For putting out a spreading fire.
For eliminating the fog on level 27.
For chasing away every snake on level 7.
For using the dogs to rescue the people stranded on the water on level 59.
For stopping a dangerous gas leak.
For using the lift to rescue people.
For evacuating people by train.
For healing polar bears.
For removing aircraft wreckage.
For removing every obstacle on level 7.
For evacuating six people by plane.
For using dynamite to blow up ice.
For sending the boat on its maiden voyage.
For saving every cat on level 2. Be careful; they might scratch!
For removing 15 wires.
For finding a lost poacher's hoard.
For removing every ball of lightning on level 28.
For repairing every lightning rod on level 9.
For eliminating every dust devil.
For repairing a communication tower.
For repairing a warning system.
For activating the surging assembly on level 31.
For cleaning up four sites containing contaminated soil.
For saving trapped dolphins.
For removing debris from a river or lake.
For watering a withered plant.
For removing 50 colonies of mold.
For upgrading every chemical and nuclear plant.