I'll be going through all of the unmissable story achievements first, and then get into the more nuanced achievements that you may need to be purposefully trying to get.
This guide is split into 2 parts. This is part 1.
Chapter - Anticitizen One
For this one you’ll need to get through the toxic tunnel in City 17. This will happen later on in the chapter “Anticitizen One” while leading a squad of rebels. You’ll come to a locked door which only you can unlock. You’ll go through that radioactive tunnel and then unlock the door from the other side, activating the achievement.
Chapter - Anticitizen One
For this one you’ll need to survive the generator plaza standoff in the chapter “Anticitizen One.” Later on in this chapter Alyx will join you again and start disabling a generator. During this time multiple waves of Combine soldiers will attack, and once Alyx finishes you’ll get the achievement.
Chapter - Follow Freeman
For this one you’ll need to shut down the suppression device on the chapter “Follow Freeman.” After meeting up with Barney you’ll get to the nexus building which you’ll then have to disable multiple energy ball reactors. Once that is done Barney will finish disabling the suppression device and the achievement will unlock.
Chapter - Route KanalFor this one you’ll need to kill five barnacles with one barrel. You can do this on the chapter “Route Kanal” pretty easily. Once you get to this slime tunnel you’ll see a large amount of barnacles. Grab an exploding barrel and throw it down. Shoot it once it gets close to them to blow it up and you’ll get the achievement.
Chapter - Water Hazard
For this one you’ll need to find the hidden singing Vortigaunt in a cave on the chapter “Water Hazard.” Right after you destroy the hunter-chopper you’ll need to open the gate and go straight ahead to a couple of large drain pipes. You’ll need to park the airboat under the left one and climb up into the pipe. Jump run all the way through and to the left as it is radioactive in here and you’ll take damage going through there. You’ll come up to a camp with the Vortigaunt and activate the achievement.
Chapter - Black Mesa East
For this one you’ll need to pick up the HEV suit charger faceplate in Eli’s scrapyard. Once on the chapter “Black Mesa East” you’ll go into Eli’s scrapyard and receive the gravity gun. Up on the area above there you’ll need to climb up and grab the faceplate with the gravity gun.
Chapter - We Don't Go To Ravenholm
For this one you’ll need to play through the entire chapter of “We Don't Go To Ravenholm” while only using the Gravity Gun. If you accidentally switch to a gun or something as long as you do not fire it, throw anything, or switch your crowbar you’ll still be able to get the achievement. Taking a circular blade with you through the chapter will help a lot with this.
Chapter - Highway 17
For this one you’ll need to kill 3 enemies using the crane on chapter “Highway 17.” Once you use the crane and the three combine soldiers run out, just pick things up and drop it on top of them until they are all dead.