How to display all posts with today’s same month and day only?

I’m trying to figure out how to do this. I have many posts. I want it so that when someone pulls up the site, the front page shows all the posts that were done on the same month and day — but disregards the year. So, if I were to pull up the website on Jan. 30, I would see all posts done on Jan. 30th of ANY year… a historical listing. I was also thinking of doing it by category, if the category was named Jan-30, is there a way I can get the system to take today’s date and compare it to the categories, and show the one that matches (no year, of course)?

Can anyone help?

You can achieve this with the date_query parameters added in version 3.7.

To modify the main query on your posts page before it is run and apply the date_query parameters, we use the pre_get_posts action:

function historical_posts_list( $query ){
    if( $query->is_home() && $query->is_main_query() ){
        $date_query = array(
            array(
                'month' => date( 'n', current_time( 'timestamp' ) ),
                'day' => date( 'j', current_time( 'timestamp' ) )
            )
        );
        $query->set( 'date_query', $date_query );
    }
}
add_action( 'pre_get_posts', 'historical_posts_list' );

If the page you want this on isn’t your posts page, you can add a custom query in your template with the same parameters, and run a separate loop:

$posts_from_today = new WP_Query( array(
    'date_query' => array(
        array(
            'month' => date( 'n', current_time( 'timestamp' ) ),
            'day' => date( 'j', current_time( 'timestamp' ) )
        ),
    ),
    'posts_per_page' => -1,
) );

if( $posts_from_today->have_posts() ){
    while( $posts_from_today->have_posts() ){
        $posts_from_today->the_post();
        the_title();
    }
}