Personally, I like getting achievements... especially for lots and lots of weird little things. Things you wouldn't expect achievements to pop up for.

Just for fun, what sort of achievements would you put in the game, if you could?

I'll start off:

This is my Jam - Kill an enemy with a mini-nuke while "Atom Bomb Baby" is playing on the radio.

Just a Flesh Wound - Cripple a humanoid enemy's arms and legs with a bladed melee weapon before killing them.

Stupid Gimmicks - Play Fallout 4 for 1 hour while using the PipBoy app.

Dog Treat - Have Dogmeat fetch a brahmin steak, and then let him eat it.

Am I Boring You? - Access your PipBoy 5 times during a conversation.

I Thought This Was America - Get into a fistfight with 10 people in a settlement, and let the guards arrest you each time.

Sugar Rush - Drink 5 Nuka Colas, 5 packs of Fancy Lads Snack Cakes, and 5 boxes of Sugar Bombs... at once.

Wild Wild Wasteland - Find all the "Wild Wasteland" easter eggs in Boston.

Slasher 2: The Slashening - Don the Pint-Sized Slasher's mask and kill 50 people with a knife!

The pie piper enslave your son and wife

We're not in Kansas anymore: Find out what happened after you entered the vault

Who do you think you are, Iron man?: Create your first full set of power armor

This Town: Build a settlement

Good, bad, I'm the guy with a gun: Modified your first weapon

Love your suggestions OP. Especially 1, 2 and 5.

Mine:

Fleshcraft: Complete the game without using power armor.
Meet your maker: Meet your maker (literally) and discover the truth. (Android theory, yes please!)
Welcome, you are safe here: Cannibalize 10 of your settlers without getting caught.

A world of pain and suffering: Complete the game killing less than 10 enemies with headshots.