Filter the content from a post globally immediately after is fetched from the database

Inside get_posts() method of the WP_Query class (line 3769), you will find out this filter:

$this->posts = apply_filters_ref_array( 'the_posts', array( $this->posts, &$this ) );

It’s the very first hook you can use to modify queried posts on both back-end and front-end.

$this->posts is an array of queried posts so it’s easy to modify the content of each posts for your purposes.

Example, we want to change the first post content:

function wpse_modify_post_content($args) {

    $args[0]->post_content="This filter filters the content of a post right after it is fetched from the database";

    return $args;

}
add_filter('the_posts', 'wpse_modify_post_content');

For specific edit screen, you can use content_edit_pre filter. This filter accepts two parameters.

Example:

function wpse_content_edit_pre($content, $post_id) {

    $content="This filter filters the content of a post which being loaded for editting.";

    return $content;

}
add_filter('content_edit_pre', 'wpse_content_edit_pre', 10, 2);

I recommend you to take a look at Filter Reference.