Westpac on-line banking
UI has a normal text field for customer ID and a pseudo keyboard for entering a user password.
The site is smart enough to recognise when a password has been entered by other means (e.g. by LastPass) which is OK by me - I'm happy to use the on-screen keyboard. However, if I edit the LastPass definition to leave customer ID in place and the password field blank, I no longer get the normal LastPass prompt when I navigate to the URL. If I click the LastPass drop down on my browser toolbar, the Westpac record is there and I can use it to autofill.
It would be better (less point and click) if LastPass behaved "normally" in circumstances like this where the password field is not pre-filled.