Luke Gedeon

The default position for the menu in WordPress 2.7 is on the left, but since the scroll-bar is on the right, some people wanted the menu over there too. Plus a lot of blogs/websites have menus on the right so menu on the right seems to be a pretty popular option.
This plug-in moves WordPress admin menu to the right side of the screen.

Admin Menu on Right

Moves WordPress admin menu to the right side of the screen.

Janis Elsts

Admin Menu Editor lets you manually edit the Dashboard menu. You can reorder the menus, show/hide specific items, change permissions, and more.
Features
<ul>
<li>Change menu titles, URLs, icons, CSS classes and so on.</li>
<li>Organize menu items via drag & drop.</li>
<li>Change menu permissions by setting the required capability or role.</li>
<li>Move a menu item to a different submenu. </li>
<li>Create custom menus that point to any part of the Dashboard or an external URL.</li>
<li>Hide/show any menu or menu item. A hidden menu is invisible to all users, including administrators.</li>
</ul>
The <a href="http://w-shadow.com/AdminMenuEditor/" rel="nofollow ugc">Pro version</a> lets you set per-role menu permissions, hide a menu from everyone except a specific user, export your admin menu, drag items between menu levels, make menus open in a new window and more. <a href="http://amedemo.com/wpdemo/demo.php" rel="nofollow ugc">Try online demo</a>.
Additional Features
Despite the name, this plugin is not limited to just editing the admin menu. You can also:
<ul>
<li>Create login redirects and logout redirects.</li>
<li>Allow/deny access to specific posts based on user roles.</li>
<li>Hide plugins on the Plugins -> Installed Plugins page from other users.</li>
<li>Edit the display name, description, and other plugin details shown on the Plugins -> Installed Plugins page (e.g. for white-labelling).</li>
</ul>
Shortcodes
The plugin provides a few utility shortcodes. These are mainly intended to help with creating login/logout redirects, but you can also use them in posts and pages.
<ul>
<li><code>[ame-wp-admin]</code> – URL of the WordPress dashboard (with a trailing slash).</li>
<li><code>[ame-home-url]</code> – Site URL. Usually, this is the same as the URL in the “Site Address” field in Settings -> General.</li>
<li><code>[ame-user-info field="..."]</code> – Information about the logged-in user. Parameters:
<ul>
<li><code>field</code> – The part of user profile to display. Supported fields include: <code>ID</code>, <code>user_login</code>, <code>display_name</code>, <code>locale</code>, <code>user_nicename</code>, <code>user_url</code>, and so on.</li>
<li><code>placeholder</code> – Optional. Text that will be shown if the visitor is not logged in.</li>
<li><code>encoding</code> – Optional. How to encode or escape the output. This is useful if you want to use the shortcode in your own HTML or JS code. Supported values: <code>auto</code> (default), <code>html</code>, <code>attr</code>, <code>js</code>, <code>none</code>.</li>
</ul>
</li>
</ul>
Notes
<ul>
<li>If you delete any of the default menus they will reappear after saving. This is by design. To get rid of a menu for good, either hide it or change it’s access permissions.</li>
<li>In the free version, it’s not possible to give a role access to a menu item that it couldn’t see before. You can only restrict menu access further.</li>
<li>In case of emergency, you can reset the menu configuration back to the default by going to http://example.com/wp-admin/?reset_admin_menu=1 (replace example.com with your site URL). You must be logged in as an Administrator to do this.</li>
</ul>

Admin Menu Editor

Does just what it says it does. Instantly.

Perfect

I've been a user of Admin Menu Editor and the Pro version for a while now. WordPress backend can get a little messy very easily, so this plugin comes to the rescue, and it does it well.

I wish all the features were free, but the devs need to pay the bills as well :-)

Best option


It allows you to move existing items on the left side menu around and change their icons.


Not Bad, simple to use


Essential for taming the admin menu, due to all the stupid ideas other developers have for their menus!


Essential

Lets you edit the WordPress admin menu. You can re-order, hide or rename menus, add custom menus and more.

Admin Menu on Right vs Admin Menu Editor