Yes, there are. Project Gutenberg is a great free option. It has thousands of classic novels that are in the public domain. You can easily download and read them on your device.
One option could be Wattpad. It has a vast collection of novels in various genres, from romance to mystery. Another is Goodreads. Although it's mainly a review and recommendation site, it can also lead you to places where you can read novels. Also, Project Gutenberg offers many classic novels for free.
There are indeed apps for manga reading. For example, MangaZone and Crunchyroll Manga provide access to various manga titles. However, the availability might depend on your region and device compatibility.
Webtoon is pretty good. It offers a diverse collection of manga and often has exclusive content. Also, it's easy to navigate and has nice features like bookmarking and offline reading.
The app itself is free to install. However, depending on the specific manga you want to read, there could be charges for accessing certain volumes or chapters.
Mangatoon is worth checking out. It has a large library of manga, including both popular and lesser-known titles. The app provides a smooth reading experience and has features like bookmarks and recommendations.