I think its 2, 1, 3.

The game theorists did a video explaining if FNAF 2 is a prequel or a sequel; the result they get is prequel.

Both videos are really interesting. I highly recommend watching them. (and the second seems to still works with the story of FNAF 3)

It could also be 1, 2 then 3.

The second game appears to occur after the first game.

From Steam's main page on the second game (http://store.steampowered.com/app/332800/):

About This Game

Welcome back to the new and improved Freddy Fazbear's Pizza!

In Five Nights at Freddy's 2, the old and aging animatronics are joined by a new cast of characters. They are kid-friendly, updated with the latest in facial recognition technology, tied into local criminal databases, and promise to put on a safe and entertaining show for kids and grown-ups alike!

What could go wrong?

As the new security guard working nights, your job is to monitor cameras and make sure nothing goes wrong after-hours. The previous guard has complained about the characters trying to get into the office (he has since been moved to day-shift). So to make your job easier, you've been provided with your very own empty Freddy Fazbear head, which should fool the animatronic characters into leaving you alone if they should accidentally enter your office.

As always, Fazbear Entertainment is not responsible for death or dismemberment.

The third game appears to be the latest in the series.

From Steam's main page on the third game (http://store.steampowered.com/app/354140/):

About This Game

Thirty years after Freddy Fazbear's Pizza closed it's doors, the events that took place there have become nothing more than a rumor and a childhood memory, but the owners of "Fazbear's Fright: The Horror Attraction" are determined to revive the legend and make the experience as authentic as possible for patrons, going to great lengths to find anything that might have survived decades of neglect and ruin.

At first there were only empty shells, a hand, a hook, an old paper-plate doll, but then a remarkable discovery was made...

The attraction now has one animatronic.

Five nights at Freddy's 3 takes place way after 1 and 2. 2 is a prequel which takes place where your the phone guy in the 1st game in 1987 or the bite of 87. Fnaf 1 is where 5 children get murdereed by the purple guy or spring trap in the third game. In the third game you have to save the crying children or the murdered children lost souls in the Freddy fazbear suits by giving them cake in the cut scenes or mini games in between nights. Once you do that all 5 children's souls have been release and set to rest out side of the suits. RIP. Then you have gotten the good ending in fnaf 3.
Purple guy or spring trap killed all the children. Once he does that and your laying as a crying childes lifted soul you force purple guy into the spring trap suit forcing him to die. (As the phone guy states in fnaf 3) The murdering of the children or why purple guy did it is still a mystery.

Game 2 -> Game 1 -> Game 3

Backstory

Before any game

The first restaurant closed after a child was murdered on the front steps, who then possessed the Marionette. (see the cake death game)

Game 2

The animatronics were bought, and a new restaurant opened. The old animatronics were taken apart for parts for the new animatronics. The new ones had facial recognition, and were tied into a criminal database.

• The 'purple man' killed 4 children in between nights 2 and 4. They possessed the old animatronics.
• The purple man also reprogrammed the new animatronics.
• They were suspicious of him, and he made them not attack him.

This restaurant went out of business because of strange behavior from the new animatronics. The new animatronics were scrapped (because of the tampering) , but the old were kept around for the possibility of a new restaurant.

Game 1

The 3rd restaurant is opened, and no mask was provided for the guard, because the purple man used Golden Freddy to lure kids in to kill them.

Phone guy dies night 4.

Game 3

This game is set ~30 years later. Somebody makes a haunted house around the Freddy Fazbear franchise. .

This game, through the minigames between nights, allows you to figure out the rest of the plot, but is not itself much of the plot.

Fnaf 2 cant happen before because Phone guy states they tried repairing the old ones in the 2 game they tried to retrofitting the old ones with new technology where are the toys in the 1st game because they in a box in the 3rd but where in the 1st.lastly how would the old ones be in that state if it happens before more on he says you NOW have a flashlight and NOW the main building cant run out of power so how would he know that if the 1st comes after the second so i think its 1,2 then 3 feel free to reply and i will respond saying what i think about by the way this is just what i gather in the game as i am very obs event when i start my YouTube channel i will have a whole video on it

the order that i think is

4,1,2,3

as the bite occured shortly before fours gameplay (as shown in the minigames) then is mentioned first in no#1 then 2 in three the springtrap is told to have been "discovered" and is also shown before in no#4 in the bite scene. this meand that 4 is before 3 and that 4 must have happened before the other games. the order then proceeds as normal 1,2,3.

The whole game goes from beginning to end, so it would be, fredbears family diner, to 6,5,4,3,2,1, three comes before two because william (dave miller, alias) is working there, alive so he couldn't have gotten springtrapped. And 6 is before any because the "scrap-trap" is NOT springbonnie. It is another suit used in fredbears called "malhare." Notice how springtraps head design looks nothing like scrap-traps head design. That was NOT william afton in scrap trap.. It was another employee who had gotten trapped in a spring-lock suit at the fredbears establishment. William is still alive at that time, and your playing as chris afton, in fnaf 6. because he had gotten bit 3 years ago, and he is 14. A legal age for a job. He then saw the commercial for the place and went to get the job.

i think it goes 4, 2, 1, 3, i dont know about sister location and others like it but with the number games that how i believe it goes cuz 4 was in '83. in 2 phone guy says "you remember foxy? he was always my favorite- oh yeah foxy..." then in 1 phone guy dies ((so we think)) then in 3 he says "i found this vintage tapes, here listen." so i believe its all based phone guy to be able to tell the timeline.