Hot answers tagged epub
As of March 2013, Google Play Books supports third-party ePub or PDF files. You can upload books to your account by visiting https://play.google.com/books/uploads in your web browser (when logged in to your Google account, of course). You are permitted to store up to 1,000 uploaded files on your account at a time, and each file must be no larger than 50 MB ...
RepliGo Reader ($5) allows you to copy text and to make annotations. Also, if you convert them to epubs the Nook app allows you to make notes. It may let you copy text on a non-DRM'd book but I don't have any of those so I'm not able to test it. (Just note that while the Nook lets you read PDFs the Nook app currently doesnt.
Txtr purports to support both, but hasn't gotten very good reviews. Speak Text Easy and MultiReader are primarily for text-to-speech, but they both appear to support both file formats.
Kobo seems to be your best bet, and Gyan looks like it could work too. Here's a couple others, but they are low-rated or in beta, so use at your own risk. https://play.google.com/store/apps/details?id=com.vitalsource.bookshelf https://play.google.com/store/apps/details?id=org.easyaccess.epubreader Source: http://www.mathjax.org/resources/epub-readers/
Both Aldiko and FBreader support PDF reading without conversion. As the app should update, you can check them again. I found these later: Aldiko only supports non-DRM'd EPUB. NOOK for Android by B&N and Kobo eBooks seem support both PDF and EPUB. Get the information from: http://www.pdfmate.com/read-pdf-with-ebook-reader-app-for-android.html
Only top voted, non community-wiki answers of a minimum length are eligible