Show post in table front end

I am not able to be exactly sure about your problem, maybe a live example may help. Also, do you have a custom post status “new” or its a typo?

but looking at the code, I see you have begun the table code outside the while loop, which is correct but ended it inside the loop. This might be the reason for only displaying 1 post. Please find the modified code.

$wpb_all_query = new WP_Query(array('post_type'=>'vendor_management', 'post_status'=>'new', 'posts_per_page'=>-1)); ?>
    <?php if ( $wpb_all_query->have_posts() ) : ?>
<table class="responstable">
                    <th>Vendor Name</th>
                    <?php while ( $wpb_all_query->have_posts() ) : $wpb_all_query->the_post(); ?>
                    <td><input type="checkbox"/></td>
                    <td><a href="<?php the_permalink(); ?>"><?php the_title(); ?></a></td>

    <?php endwhile; ?>
    <!-- end of the loop -->
    <?php wp_reset_postdata(); ?>

<?php else : ?>
    <p><?php _e( 'Sorry, no posts matched your criteria.' ); ?></p>
<?php endif; ?>

Let me know if this works.