This is an idea that wouldn't leave my head, inspired by Fairy Slayer's "Mommy Nearest," Aldea Donder's "Alicorn," SoundofRainfall's "Play" and RainbowDoubleDash's "Lunaverse"

Alternate Universe: Instead of Twilight Sparkle, Princess Celestia made Rainbow Dash her personal student instead! Follow her through the events of the 1,000th Summer Sun Celebration. A reimagining of "Friendship is Magic"

After an argument with Luna, Celestia realizes that she is the only creature in Equestria who cannot sleep in. She enlists Twilight to help, and the two of them come up with a spell that will allow her to spend the night on a different world. Unfortunately, all their research failed to reveal that the world they sought was populated. Now, the Princess must decide whether to continue with contact, or destroy the only non-Equestrian witness to their existence.

Cover art is called "Sleeping Celestia" by Briskby

This story is a sequel to Celestia Sleeps In

After the accidental discovery of humans, Celestia tasked Lyra with learning about Dale's culture and Dale's language. Two meetings later, a misunderstanding caused Dale and a Coast Guard woman to be inadvertently transported to Equestria. With the two humans hospitalized and communication limited at best, the Equestrians just want to heal them, while back on earth the Coast Guard wants nothing more than to determine what happened to one of their sailors.

This is a fic based on the Time Loop Files, the format of which was first codified by Innortal on fanfiction.net.
Here's a brief guide.
The basic idea is, one character (the Anchor, usually the main character of a fictional setting) is looping back to the very first moments of their parent series every time either they die or some kind of time limit expires. They of course end up monumentally stir crazy given enough time.
Eventually others start to loop as well.
The reset is not always perfect. Sometimes a loop's history will be different to the "prime" loop, or canonical plot.
"Crossover" or "Fusion" loops also occur, randomly. These can involve the home loopers having a guest, or the anchor for one universe spending time in another, or replacements of one character by another.
Vacation Loops are where the Anchor (or others) decide/s "buck it" and lets off steam by doing whatever comes to mind. There's little or no attempt to maintain the original timeline.

In addition, and particularly more recently, it should be known that this story has a collaborative element to it - people may submit loop ideas or loops, ideally at the Spacebattles thread (a link to the current version of which is on the Trope page), and they may become included.

There's two page image options, thanks to Filraen - the current page image has been edited by the original creator from this work of theirs.. The other one is here:
http://hourglass-vectors.deviantart.com/art/MLP-Loops-466030169

This story is a sequel to Blue Moon Bloom

(Note: Spoilers in the comment section)

Rumble was always a quiet kid. It's only recently, since he started hanging out with Scootaloo, that anypony's really paid attention to him.

Until he announces he's got a bat-winged girlfriend. Whom he's going to wedlock (which is totally not the same thing as a wedding).

That suddenly gets him a lot of attention.

Now the rousette community of Ponyville has to contend with ponies arguing over one boy's decision to partake in a bat rite, while ponies are trying to figure out if they're allowed to be offended by their bat-winged neighbours' behaviour.

And Scootaloo? Scootaloo has more pressing matters to worry about than cultural clashes and child marriages, even if the latter involves someone she likes. And hey, it's not like she could do anything about it even if she wanted to, right?

Author's Notes: the third and for now final part of the Quorum Sensing storyline, and as such follows canon up to and including Season 2. Also contains massive spoilers for the previous stories.

Trigger warning: may remind people of racial/cultural frictions, as well as gendered ones.