AdorkableTwilightAndFriends is a Tumblr blog.
Also available on Deviant Art.

There are multiple different storylines going on at once and at various times in the series.
The most prominent stories follow Twilight, Spike, Starlight Glimmer, and Moondancer.
There are many background stories with other characters as well.
Most of the stories are of every day life events with lots of humor and the occasional real life issues and serious tones.