In Harry Potter and the Methods of Rationality. (Note: Spoilers even if you've read every chapter) The fact that Voldemort turned the Pioneer plaque into a horcrux is heavily implied, but by no means confirmed, in the text. It is explicitly stated in the author notes.
A large amount of Company0051's background is detailed in supplementary artwork, including the history and locations of the Chief's scars and the names and designs of everyone in the encampment. It's well worth checking out.
Renegade features a number of Codex entries similar to the Codex in Mass Effect that details additional notes about the setting.
This is actually a recurring trend in Mass Effect fanfiction. Particularly with Halo crossovers.
In the Nanoha fanfic Blood and Spirit, a chapter after the main story discusses how Arisa is able to maintain her existence as a ghost and how her powers work.
Most of the world building in Miracle Child takes place on the work's tumblr rather than in the story itself. This is understandable, since bogging down the work with tidbits on how the Alternian Empire works and what the various canon characters are doing would quickly leave no room for the plot.
The bonus chapter for Season Two of Calvin & Hobbes: The Series reveals Andy is homeschooled, and both him and Klein are named for their (proposed) voice actors (Andrew Lawrence and Robert Klein, respectively).
To the Stars author Hieronym has a tumblr account specifically dedicated to giving extra information that doesn't fit in the narrative (along with answering questions, posting character bios, and giving ideas for spin-off stories).
Certain information (including age, hometown, and in some cases appearance) about the characters in Plasma's Folly does not appear in the story, but may instead be found in an illustrated character profiles page that the author rarely updates.
The Total Drama story, Legacy includes hyperlinks to supplemental information on ancillary topics, including the song that became the basis of Trent's tribute song.
Between My Brother And Me: In-universe: May and Max learn all they need to know about dueling from a magazine called 'Duelist Monthly'...that their mom had for some reason. From it, they learned about Duelist Kingdom, Battle City and the 'who's who' in the world of dueling.
The Total Drama story, Courtney and the Violin of Despair includes a substantial Notes section. The narrative and notes also include hyperlinks to supplemental information on ancillary topics and embedded music videos for some of the compositions mentioned.
The Legend of Total Drama Island includes an extensive Notes (aka trivia) section, which mainly explains the more obscure allusions. The Notes also include hyperlinks to supplemental information on ancillary topics, mostly things alluded to in the story. The story itself includes embedded music videos for most of the compositions mentioned.
The tumblr on which the Ragnarok Online fanfiction Warriors of the World is posted is occasionally updated with a post tagged as "lore" giving background information regarding the many changes to the world of Midgard in order to have it work as a real world. On top of that, the author has stated that this is exactly what the tumblr is for since they got tired of having to reply to their own reviews on Fanfiction.net.
Hivefled has a tumblr which provides additional information and worldbuilding on a lot of the characters.