A welcome screen in the WordPress dashboard, but not using the actual welcome_panel hook because even customizing that will show only to site admins. Instead, this creates an admin notice and uses the welcome panel markup.

wp_welcome_panel.php

/* ==================
 * Custom Welcome Panel
 */ // This is a custom welcome panel, sort of. The 
// correct way of updating the welcome panel content
// is still only visible to users that can edit_theme_options.
// This takes the welcome-panel styles and adds it as an admin_notice.

function ms_welcome_panel() {

	$screen = get_current_screen();
	if ( $screen->base == 'dashboard' ) {
	echo
		'<div class="wrap">'.
			'<h2></h2>'.
			'<div id="welcome-panel" class="welcome-panel">'.
				'<section class="welcome-panel-content">' .
					'<h3>A Heading</h3>' .
					'<p class="about-description">A description or blurb.</p>'.

					'<div class="welcome-column-container">'.
						'<div class="welcome-panel-column">'.
							'<a class="button button-primary button-hero" href="#yourlink" target="new">Button</a>'.
							'<p>Some text.</p>'.
						'</div>'.
						'<div class="welcome-panel-column">'.
							'<a class="button button-hero" href="#yourlink">Second Button</a>'.
							'<p>Some text</p>'.
						'</div>'.
					'</div>' .
			'</section>'.
			'</div>'.
		'</div>';
	}
}
remove_action( 'welcome_panel', 'wp_welcome_panel');
add_action( 'admin_notices', 'ms_welcome_panel' );