Firdaus Zahari

This plugin allows users to set their passwords during the registration process. Once activated, a password field will appear on the registration field which uses the same functionality as the password field you get when you’re resetting your password.
The email notification sent to the new user is also modified to indicate a successful password set.

FS Registration Password

Allow users to set their own password during site registration.

frankkoenen

This plugin provides a complete replacement for the standard WP login, registration and lost password interfaces. 
Provides a password recovery system, adds password expired feature, integrates with Really Simple Captcha and provides optional invitation code to register.
Simply download and install the plugin, activate it.
Customizable to integrate with LDAP-LPRM plugin ( <a href="https://wordpress.org/extend/plugins/ldap-login-password-and-role-manager/" rel="ugc">https://wordpress.org/extend/plugins/ldap-login-password-and-role-manager/</a>).
Captcha integration with Really Simple CAPTCHA ( <a href="https://wordpress.org/extend/plugins/really-simple-captcha/" rel="ugc">https://wordpress.org/extend/plugins/really-simple-captcha/</a> )
Configurations include assigning page or post ID to provide content as wrapper to the login, registration and lost password forms.
Configure one or more invitations codes to force new regristraints to supply the code to register.
<h3>Features</h3>
<ul>
<li>CSS ready for 100% customization to customize the cleaned forms for integration with your theme and the rest of your site.</li>
<li>Include or exclude active theme Javascript and CSS resources.</li>
<li>Replacement Login form.</li>
<li>Replacement for the Registration form.</li>
<li>Replacement for the Lost Password form.</li>
<li>Uses the standard WP Password recovery interface.</li>
<li>Optionally enable password expirary management.</li>
<li>Optionally enable registration invitation code verification.</li>
<li>Full system logging via syslog.</li>
<li>Fully customizable expired password reset and password recovery and user registration procedures.</li>
<li>All form control pages are customizable via blog-posts; assign posts for display with the specific forms as desired.</li>
<li>Can be AJAX enabled to embed the forms on any page, using shortcodes</li>
</ul>

Plugin Name: login_register

Provides a replacement for login and register and lost password and provides feature for password expiration and optional invitation codes.

FS Registration Password vs Plugin Name: login_register