Here is the full list of all 34 Narcos: Rise of the Cartels achievements.
Successfully complete the first Narcos side-mission
Hire 10 recruits
Unlock Peña in the Campaign
Unlock Carrillo in the Campaign
Unlock Poison in the Campaign
Unlock El Mexicano in the Campaign
Collect all items in El Patrón's journal
Collect all items on the Intel Board
Kill a DEA Leader
Kill Cockroach
Kill the Justice Minister
Destroy the evidence and finish the mission
Complete the Narcos Campaign, escape into the jungle
Kill Poison
Kill El Mexicano
Kill Primo
Complete the DEA Campaign, saving Sandoval
10 Kills with the Pistol
10 Kills with the SMG
10 Kills with Grenades
Start the mission after changing a Unit's Deployment Zone
Kill more than one enemy in a single Action
Successfully complete 10 Kill Shots
10 Kills with the Rifle
10 Kills with the Shotgun
Gather the Intel and finish the mission
Flank an enemy 20 times
Level up a Unit
Heal 50 health
Successfully complete 10 Counteracts
Successfully complete the first DEA side-mission
Kill an enemy using a Skill
Successfully completed the Tutorial
Complete a battle with only one Squad death