I've put together a quick demo of a menu idea for a mobile website or app. It only took me 20 minutes to build the entire prototype. Feel free to import and dissect.
A simple, one page prototype inspired by Ramotion's Contact Sync (https://dribbble.com/shots/1749645-Contact-Sync?list=users&offset=11). Just play with the on/off switches.
Hit Refresh icon to see a loading animation for bringing new email. Swipe left on the top latest email to delete.
(Inspired from http://www.beautifulinterfaces.com/item/114-covert-inbox)