There's absolutely nothing wrong with the standard structure of a novel, narrative split by chapters and occasionally sections, but sometimes an author follows a more creative format, and you're awe-struck. Five examples, in no particular order, of this that I've encountered include:
Written, as you'd expect from the title, in dictionary entries, The Lover's Dictionary shed light on a relationship not too extraordinary in itself, but amazing through the fresh perspective.
Feeling Sorry For Celia by Jaclyn Moriarty:
Feeling Sorry For Celia is told through letters: exchanged notes with parents stuck to the fridge, to and from anonymous pen pals, left by mysterious boys, or to herself. The story was funny and touching, and the characters were so close they appeared real.
The Perks Of Being A Wallflower by Stephen Chbosky:
The Perks Of Being A Wallflower is a series of letters from Charlie to anonymous person -- "I am writing to you because she said you listen and understand and didn't try to sleep with that person at that party even though you could have." This book is one of my all-time favourites, written so candidly to this stranger in such an endearing voice.
All These Things I've Done by Gabrielle Zevin:
Although this is subtle one, All These Things I've Done is written like a confession; very fittingly. The result was a much more personal and honest novel: not a character narrating their story, but a person telling you their story.
Confessions Of The Sullivan Sisters by Natalie Standiford:
Another you can guess from the title, Confessions Of The Sullivan Sisters is written in confessions -- get this -- from each of the Sullivan sisters. This perspective occasionally went unnoticed, but then a character would address you -- or rather, their grandmother -- directly and draw you right back in.
Do you guys have any favourite oddly-structured books? I haven't read many and I'd love recommendations!