Here is the full list of all 20 Search and Rescue achievements.
Complete game in classic mode
Complete game in survive mode
Complete first tutorial mission
Complete second tutorial mission
Complete third tutorial mission
Complete fourth tutorial mission
Complete fifth tutorial mission
Complete sixth tutorial mission
Complete "Halny" scenario
Complete "Crash landing" scenario
Save 100 lost
Meet wild animal (Bear)
Meet wild animal (Chamois)
Meet wild animal (Lynx)
Meet wild animal (Wolf)
Finish game on Tatra map with 6 lost
Finish game on Yosemite map with 6 lost
Finish game on Procedural map with 6 lost
Destroy snowman
Reach Half Dome