I already have managed to show the blogs with title (link) and description, using the last example on the Codex entry.

The code I used to show the image on the blog taxonomy archive comes straight from Rilwis' website (all the way at the bottom). The difficulty to do this on the homepage too is that I seem to have to combine two foreach calls and that is a little bit too complex territory for me.

I already have managed to show the blogs with title (link) and description, using the last example on the Codex entry:

/* List all blogs, source example 2: http://codex.wordpress.org/Function_Reference/get_terms#Examples */
$args = array( 'taxonomy' => 'blog', 'orderby' => 'name', 'order' => 'ASC', 'fields' => 'all' );

$terms = get_terms('blog', $args);

$count = count($terms); $i=0;
if ($count > 0) {
    foreach ($terms as $term) {

        $i++;

        $term_list .= '<article class="blog-list"><p><a href="' . get_home_url() . '/blog/' . $term->slug . '/" title="' . sprintf(__('View all articles in %s Blog', 'wys'), $term->name) . '">' . $term->name . '</a></p><p>' . $term->description . '</p>';
        if ($count != $i) $term_list .= '</article>'; else $term_list .= '';
    }
    echo '<div class="my_term-archive">' . $term_list . '</div>';
}

The code I used to show the image on the blog taxonomy archive comes straight from Rilwis' website (all the way at the bottom):

$queried_object = get_queried_object();
$term_id = $queried_object->term_id;

$meta = get_option('blog_image'); //meta_id
    if (empty($meta)) $meta = array();
    if (!is_array($meta)) $meta = (array) $meta;
        $meta = isset($meta[$term_id]) ? $meta[$term_id] : array(); //term_id
        $images = $meta['blogimg']; //field_id
            foreach ($images as $att) {
                // get image's source based on size, can be 'thumbnail', 'medium', 'large', 'full' or registed post thumbnails sizes
                $src = wp_get_attachment_image_src( $att, 'thumbnail' );
                $src = $src[0];
                // show image
                echo '<figure class="thumb alignleft"><img src="' . $src . '" alt="image" /></figure>';
            }

echo '<div class="archive-meta">';

    $description = term_description();
    if ( $description ) { // Show Blog taxonomy term description
        echo $description;
    } //endif
    
    $meta = get_option('blog_image'); //meta_id
        if (empty($meta)) $meta = array();
        if (!is_array($meta)) $meta = (array) $meta;
            $meta = isset($meta[$term_id]) ? $meta[$term_id] : array(); //term_id
            $value = $meta['blog_authors']; //field_id
            echo '<p class="blog-authors">' . __( 'Author(s): ', 'wys' ) . $value . '</p>'; // if you want to show                  
    
echo '</div>';

The difficulty to do this on the homepage too is that I seem to have to combine two foreach calls and that is a little bit too complex territory for me.