LoginPress Plugin by LoginPress holds a lot of customization fields to change the layout of the login page of WordPress. You can modify the look and feel of login page completely even the login error messages, forgot error messages, registration error messages, forget password hint message and many more.
LoginPress Plugin would give you and your users a feeling that it is a custom login page and a part of the site layout. You must checkout the Demo video of how you can customize WordPress login page.
Getting Started video for customizing login page using LoginPress here