Add and Remove Row Actions in an Existing WP_List_Table

As for the user rows in the Users list table (at wp-admin/users.php), you would use the user_row_actions hook like so:

add_filter( 'user_row_actions', 'my_user_row_actions', 10, 2 );
function my_user_row_actions( $actions, $user_object ) {
    // Remove the Edit action.
    unset( $actions['edit'] );

    // Add your custom action.
    $actions['my_action'] = '<a href="<action URL>">Action</a>';

    return $actions;
}

The other WordPress list tables which extend the WP_List_Table class also fire a similar hook with the same naming convention, i.e. <text>_row_actions, and here are the other available hooks list as of writing:

Note: These hooks mostly have only two parameters — $actions (an array of action links) and an object representing a post, term, user or comment — but the media_row_actions has a third parameter named $detached (see the docs for more details).

• page_row_actions — fires in the Pages list table (page post type); second param: $post (a WP_Post instance)

• post_row_actions — fires in the Posts list table (post and custom post types); second param: $post (a WP_Post instance)

  Note that this hook and the one above, they are fired in the same list table class which is WP_Posts_List_Table.

• media_row_actions — fires in the Media list table; second param: $post (a WP_Post instance)

• comment_row_actions — fires in the Comments list table (which is also used in the Recent Comments dashboard widget); second param: $comment (a WP_Comment instance)

• ms_user_row_actions — fires in the Network (or Multisite) Admin Users list table; second param: $user (a WP_User instance)

• <taxonomy>_row_actions — fires in the Terms list table ( for Tags (post_tag), Categories (category) and custom taxonomies ); second param: $tag (a WP_Term instance)

• tag_row_actions — same as above, i.e. for any taxonomy — but if you want to target a specific taxonomy, you might want to use the above hook instead