We have released firmware 1.3.3 with the TREZOR Connect for passwordless login to websites and apps.
Read more here http://satoshilabs.com/news/2015-04-07-trezor-firmware-1-3-3-connect-api/ and don't forget to update your firmware.
Great!
Can't wait to test Trezor Connect! I hope that lots of bitcoin-related sites will support this.