Demo: https://www.fmeextensions.com/magento-ajax-login-register.html
FME Ajax Login Magento extension lets your customers to login/register with their social profiles like Facebook, Twitter, & Gmail.
Key Features:
Responsive Ajax Social Login
Login/Register from any Store Page
Instant Ajax Search
Configure Titles for different Panels
Ajax Based Validations
Configure Social Integration/App key/App ID