BuddyPress.org

You could use WP_Query. Here’s an example:

$query = new WP_Query(
    array(
        'author' => bp_displayed_user_id()
    )
);
if ( $query->have_posts() ) {
    while ( $query->have_posts() ) {
        $query->the_post();
        echo get_the_title();
        // Output more stuff here if you like.
    }
    wp_reset_postdata();
} else {
    // No posts found.
}