Little Nightmares

Very easy way at the beginning of Chapter 4.

You have to stay close to the first guy trying to capture you. Every time you see the eye in the bottom right corner, you are doing right to get the achievement. Reload checkpoint if you need more "escapes".

i got this relatively easy in chapter 2. All you have to do is be running away from an enemy, the guy from chapter 2 seemed easiest for me, and just slide out of his reach. since i got this on chapter 2, i will be using that enemy as an example. I'm not positive, but i'm also pretty sure this counts across playthroughs, so if you attempt it multiple times and he catches you reloading and continuing to do it should work fine. This method really doesn't take more than a minute or 2 once you get the hang of the timing

When he is chasing after you he will typically stop for a fraction of a second and then try to grab you. if you are already running away from him, when he stops just before grabbing you you have a small window that you can run and slide and easily get out of his range.

I was also able to do this against the enemy in chapter 3, but only in the kitchen really, and i found it a little harder to manage.

EDIT: you can tell if it worked or not cuz you'll see the eye in the corner saying its saving. it saves every time you evade the enemy.

Video Guide

I found an exploit to grab this achievement fairly easily.

Chapter 3:

Near the beginning of this chapter you will eventually reach a kitchen. You will need to sneak past the chef by crouch walking and head down a short flight of stairs into the next room. The chef will follow you.
This is the same area where the Helping Hand secret achievement can be obtained.
When you enter this area a Nome will run from under a table. Chase it and it will lead you to a wooden crate near the bottom of the screen with 4 bottles of wine and a wedge of cheese on it. Climb on this crate.
Stand on the right side of this crate to lure the chef to that side. You can toss a bottle to lure him if he isn't already chasing you. He needs to be on the right side as there is another crate that prevents him for getting too close.
As he gets near, move to the left of the crate. If you move too far left too soon, he will run to the other side. If you do this just right he will attempt to grab you 4 times but you will be out of reach. You will see an eye symbol appear on the bottom right of the screen after every grab attempt.
After the 4th attempt, he will pause for a second. Drop off the left side of the crate onto the floor. If you don't drop down he will do a lunge and grab you. As he starts to run around the table to the side you are on, simply jump back onto the crate and lure him to the right side again. Rinse and repeat until achievement pops.

After reading through the other guides for this and struggling, I thought I would try and simplify it.

This CAN be obtained on the first enemy encounter in chapter one - a blind guy with long arms in a room with a bed you can hide under.

At first I thought you had to alert him and make him search for you - you don't!

When he come through the door look at the beds on the back wall, stand two beds away from he and start running around in circles until he makes a noise (run with x). Then run away and press LT to slide. If you evade the grab, which may take a bit pf practice, the saving logo will show up in the bottom corner and your achievement counter will go up.

Do this 5 times total for the achievement to pop.

A guide written with people who do site completions like war boats and hangman in mind - enjoy