Mike Auteri

This plugin is a fork of <code>Disable All WordPress Updates</code> plugin. Like that plugin, Core Updates Permission completely disables the theme, plugin and core update checking system in WordPress. The plugin prevents WordPress from checking for updates including cronjobs, and prevents any notifications from being displayed. The one significant difference is that this plugin also allows you to pick and choose administrators that can have the ability to make updates.
It’s very important that you keep your WordPress theme, core and plugins up to date. If you don’t, your blog or website could be susceptible to security vulnerabilities or performance issues.
If you use this plugin, it’s a good idea to give one administrator the ability to see update notifications to keep up to date with new releases of your active WordPress version, plugins and themes and update them as new versions are released.

Core Updates Permission

Disables the theme, plugin and core update checking, the related cronjobs and notification system by default. Provides the ability to give certain adm …

Poetic Coding

Automatr updates your WordPress automatically, never again do you have to worry about applying updates to WordPress. It supports updating plugins, themes and WordPress itself.
Your modifications are fine with this plugin, as you can exclude them from the updating proccess easily.

Automatr

Automatr updates your WordPress automatically, never again will you have to update your WordPress install yourself.

Core Updates Permission vs Automatr