cloud.mail.ru offers free 1Tb for life if you register until 20 January. Yes the interface is in Russian(at least for the desktop app) and rough at edges, but still worth spending 5 minutes registering.
Edit. The interface of the Android app is available in English. Also, being an active Dropbox user, Mail.ru solution is obviously less polished and still in beta. But it is an established company in Russia(I would guess second biggest internet media holding), and you can somewhat rely on them.
I wasn't able to sign up for an email account without one until I found this link http://e.mail.ru/cgi-bin/login?lang=en_US where you can use any phone number (but still require one to sign up).
Edit. The interface of the Android app is available in English. Also, being an active Dropbox user, Mail.ru solution is obviously less polished and still in beta. But it is an established company in Russia(I would guess second biggest internet media holding), and you can somewhat rely on them.