Registration email Account Details

Is it possible to modify the "Account details at ..." and the "Your account details at ..." emails to include all (or selected) information provided on the registration form. Currently, those emails only show the name, username, email and password (on the user's "Your account details at ..." email only).

NOTE: The "Account details at ..." email received by the Administrator will NOT show the user's password, as it is currently configured.