Here is the full list of all 17 Bushfires: Animal Rescue achievements.
Win one game.
Rescue at least 15 koalas.
Rescue at least 10 camels.
Rescue at least 25 dunnarts.
Rescue at least 25 bearded dragons.
Rescue at least 10 kangaroos.
Rescue at least 10 dingos.
Rescue at least 10 snakes.
Rescue at least 15 eagles.
Rescue at least 15 brown falcons.
Rescue at least 15 pink cockatoos.
Rescue at least 5 white kangaroos.
Win any level with at least two stars.
Win any level with at least three stars.
Win any level with truck vehicle.
Win any level with buggy vehicle.
Win any level with firefighter vehicle.