What you need before you start running is get a save with 83 QRs (with unique ids) viewed and all 22 audio logs listened to. This doesn't need to be in a single playthrough, but you do need to do it all without cheats being enabled. Doing this would unlock the "QR Reader" and "Good Listener" achievements respectively, but having the achievements doesn't mean you have the flags set, so I think it's misleading to say the run requires the achievements.

~~If you don't want to go through the work to get the flags then what you can do is replace your save file with one that has the correct flags (I'll link it below). This will also give you all achievements that the save has but you don't, in this case all of them. Your save is stored in "[main steam directory]\userdata\[your steam id]\257510\remote", so on windows this is usually "C:\Program Files (x86)\Steam\userdata\[your steam id]\257510\remote". Make sure to replace both files, and then next time you launch the game you'll get all achievements and you'll be ready to run the game. A few more important things to note, this will get rid of any playthroughs you currently have, so you might want to backup your files first, doing this will mess with all of your settings, so you should definitely go through them all again, and I'm not sure if this works with steam cloud on, so you may want to turn it off.

The save file:
https://drive.google.com/open?id=0ByYTh9vvPxG7QWJWNDR1Y3p0SlE~~

Sorry this is 6 months late... I should really check these forums.
Made the category under misc cuz why not

Portal 2

LEGO Harry Potter: Years 1-4

The Talos Principle

The Talos Principle - Achivments before running

Lego Harry Potter - Coop

Portal 2 Solo coop Course 6

WiiSuper

OmegaFallon

Portal

Half-Life 2

The Simpsons: Hit & Run

Aperture Tag

Half-Life

Amnesia: The Dark Descent

Quake

Call of Duty: Modern Warfare 2

Call of Duty

Mafia II

Mafia: The City of Lost Heaven

Contra

TrackMania Nations Forever

Cookie Clicker

Quake III Arena

The Typing of the Dead: Overkill

Dishonored

The Typing of the Dead

SpeedRunners

I Wanna Be The Boshy

P1 Done P2

Scribblenauts Unmasked - A DC Comics Adventure

Portal Elevators

The Talos Principle Category Extensions

Portal 2 Category Extensions

Portal 2 Speedrun Mod

The Talos Principle Custom Maps

Mafia Category Extensions

Mafia: Definitive Edition

Skizzie