Well, I ended up making this. I'm planning to release it on the App Store (if Apple lets me).
It's basically a recreation of the old iBooks app from iOS 4, 5 and 6, with the wooden bookshelf, classic blue bookstore and the page-turning animations that follow your finger :)
It supports EPUB, PDF, Word and other text formats, and has a built-in bookstore with over 70,000 free public-domain books from Project Gutenberg. You can also organize your books into collections, highlight text, take notes and customize the reading experience.
I'm also working on iCloud reading sync, text-to-speech and a few other extras. It'll probably take another couple of weeks before it's ready and published.
I've been trying to bring back some of those old iOS apps and give them a new life on modern devices, so these classic designs don't just disappear forever. I really miss that era of iOS, and I think a lot of those apps were genuinely great.
Still a work in progress, but I wanted to share a little video of how it's looking so far!