I've written a blog post about my redesign for Mixcloud's login form done as part of a job interview. It's built in Framer, and you can read about it here: https://medium.com/@a7dc/redesigning-mixcloud-s-login-form-with-framer-js-d49a4f4d5b1f#.3d3o2huuv
Is also my debut shot on dribbble so if you like it feel free to give it a like. Thanks again to the guys behind Framer and the fantastic docs and community, have been really approachable and helpful! :D
I DEFINITELY agree with you about keeping the username and password on the same screen.