FuzzGuard

<p>This plugin allows you to display menu items based on if a user is logged in, logged out or based on the role you have given the user.</p>
<p>This plugin allows fine-grained permissions to be added to each individual menu item to display or not display the item based on the<br />
 users logged in/logged out status or the role assigned to the user.  This solves the problem of having to modify theme functions.php files to add in menu restrictions.  The changes in functions.php is often overwritten by a theme update.  This plugin removes that worry, as you can update the theme, independent of the plugin.</p>
<h4>Please Note</h4>
<p>This plugin uses a modified version of the Nav Menu Walker class.  This means any other plugins that utilize their own custom Nav Menu Walker class, can and will conflict with this plugin.  WordPress developers have support for proper custom hooks in this area of the Admin Menu slated for v4.8 release.  Please see FAQ item “I cannot see the options for Privilege Menu under menu items in the Admin Panel?” for more information.</p>


Privilege Menu

This plugin allows you to display menu items based on if a user is logged in, logged out or based on the role you have given the user.

joe_bopper

<p>Adds search box as a choice of item in navigation menus admin area.</p>
<p>Features include:</p>
<ul>
<li><strong>now compatible with the WordPress appearance customizer</strong>,</li>
<li>search box available as a choice in the admin area for navigation menus,</li>
<li>as many boxes can be added to a nav menu as one likes,</li>
<li>search boxes can be added as children of other menu items (useful for, e.g., mega-menus),</li>
<li>capacity to change button text, placeholder and css classes from the admin area to each search box,</li>
<li>hooks to modify output (see FAQ and/or code comments),</li>
<li>very lightweight,</li>
<li>in keeping styles, html, behaviour, etc., with wordpress defaults,</li>
<li>works straight out of the box, no configuration needed.</li>
</ul>
<h4>Those wanting to translate this plugin, please do.</h4>
<p>I believe the plugin is in a translatable state and I’ll do everything I can to help in translation. It should be relatively quick as there isn’t much text to the plugin.</p>


Bop Search Box Item Type For Nav Menus

I like the way it behaves like any menu item so you can position and decorate it how you want. Thanks to Joe for putting me right on how to get at the placeholder text.

Nice Plugin

Adds search box as a choice of item in navigation menus admin area.

Privilege Menu vs Bop Search Box Item Type For Nav Menus