Android: Sharing web pages to Evernote through Android's share menu only saves the URL and page title. If you want to save selected content as well without copying and pasting, EverClip is a flexible solution that should work in any Android browser.
EverClip for Android lives in the standard share menu on most Android browsers. When you're on a page you want to clip and save, just share it to EverClip instead of the Evernote app. The page will reload with selection box that you can configure with arrow keys. After you've selected everything you want to save, hit the clip button, and it'll be saved to Evernote in the background.
Dolphin Browser does something similar with its Evernote add-on, but if you prefer using another browser, EverClip is an awesome alternative. The app offers an ad-supported free version, but it's worth ponying up $US2.59 for EverClip Pro, which lets you add tags and select which notebook to clip to.
Just to clear up any confusion, we've previously highlighted an app by the same name for iOS, but the two aren't related, and they don't function in the same way.
EverClip (Free) [Google Play]