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