You may see this widget right here in left sidebar. It supports icons, badges and submenus. Also it has a possibility to collapse.
Using example below.
Code
<?= \yiister\adminlte\widgets\Menu::widget( [ "items" => [ ["label" => "Home", "url" => "/", "icon" => "home"], ["label" => "Layout", "url" => ["site/layout"], "icon" => "files-o"], ["label" => "Error page", "url" => ["site/error-page"], "icon" => "close"], [ "label" => "Widgets", "icon" => "th", "url" => "#", "items" => [ ["label" => "Menu", "url" => ["site/menu"]], ["label" => "Boxes", "url" => ["site/boxes"]], ], ], [ "label" => "Badges", "url" => "#", "icon" => "table", "items" => [ [ "label" => "Default", "url" => "#", "icon" => "table", "badge" => "123", ], [ "label" => "Red", "url" => "#", "icon" => "table", "badge" => "123", "badgeOptions" => [ "class" => \yiister\adminlte\components\AdminLTE::BG_BLUE_ACTIVE, ], ], ], ], [ "label" => "Multilevel", "url" => "#", "icon" => "table", "items" => [ [ "label" => "Second level", "url" => "#", ], [ "label" => "Second level", "url" => "#", "icon" => "table", "items" => [ [ "label" => "Default", "url" => "#", ], [ "label" => "Red", "url" => "#", "icon" => "table", ], ], ], ], ], ], ] ) ?>