Date/Time Input Types are coming to Firefox, and I must say they look quite good too (as a reference: here’s how Chrome implemented this):
The implementation also looks familiar, doesn’t it? 😉
The date/timepickers are currently locked behind a flag in Nightly. Change dom.forms.datetime in about:config if you want to try them out already.
The week one doesn’t seem to be implemented via the dom.forms.datetime settings.