Hi,
I know a few online libraries in English literature. For example, PupilGarage - In this free library in English, not only art literature, but also books on programming, mathematics, management, etc.
Read Print - on this resource, works of the classics of world literature in English are presented. Books can not download, but you can read online completely free.
And Ebooks for all - another major free library with convenient navigation. All books here are sorted by genres, and on the site there is a convenient search, which allows you to find the desired work. Any of the presented works can be read for free, most books are available for download. In addition to fiction in the library, books on medicine, jurisprudence, economics and so on are presented.