Since 3.4 the left border decoration is on list items instead of links, which should cover 3rd party widgets better
The Sun image appears to be a list item, you can remove its border with a CSS insert
li.wicon {
border-left: 0;
}
Widget lists 2nd level: A bug, thanks for finding.
To fix it in your version edit css.php line 702-729 and add the red parts:
div.widget_pages ul li ul li a:link,
div.widget_pages ul li ul li a:visited,
div.widget_pages ul li ul li a:active,
div.widget_categories ul li ul li a:link,
div.widget_categories ul li ul li a:visited,
div.widget_categories ul li ul li a:active {
padding: 0 0 0 <?php echo $bfa_ata['widget_lists2']['link-padding-left']; ?>px;
border-left: solid <?php echo $bfa_ata['widget_lists2']['link-border-left-width']; ?>px #<?php echo $bfa_ata['widget_lists2']['link-border-left-color']; ?>;
}
div.widget_pages ul li ul li a:hover,
div.widget_categories ul li ul li a:hover {
border-left: solid <?php echo $bfa_ata['widget_lists2']['link-border-left-width']; ?>px #<?php echo $bfa_ata['widget_lists2']['link-border-left-hover-color']; ?>;
}
div.widget_pages ul li ul li ul li a:link,
div.widget_pages ul li ul li ul li a:visited,
div.widget_pages ul li ul li ul li a:active,
div.widget_categories ul li ul li ul li a:link,
div.widget_categories ul li ul li ul li a:visited,
div.widget_categories ul li ul li ul li a:active {
padding: 0 0 0 <?php echo $bfa_ata['widget_lists3']['link-padding-left']; ?>px;
border-left: solid <?php echo $bfa_ata['widget_lists3']['link-border-left-width']; ?>px #<?php echo $bfa_ata['widget_lists3']['link-border-left-color']; ?>;
}
div.widget_pages ul li ul li ul li a:hover,
div.widget_categories ul li ul li ul li a:hover {
border-left: solid <?php echo $bfa_ata['widget_lists3']['link-border-left-width']; ?>px #<?php echo $bfa_ata['widget_lists3']['link-border-left-hover-color']; ?>;