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