Remove Rating Box from Category Page in Magento

You can get the vote collection related to a review via the following code snippet. This will return you the content of the table rating_option_vote including the rating_id if that is what you are looking for.

$votesCollection = Mage::getModel('rating/rating_option_vote')
    ->getResourceCollection()
    ->setReviewFilter($reviewId)
    ->setStoreFilter(Mage::app()->getStore()->getId())
    ->load();

It would be wiser to rewrite the Mage_Catalog_Helper_Data, as it provides the data on what categories will be added to breadcrumbs.

Assuming you know how to rewrite that helper class, here's what you have to do:

1. Rewrite the class Mage_Catalog_Helper_Data.
2. Override getBreadcrumbPath method.

3. Copy the original method but modify these lines:

   // add category path breadcrumb
   foreach ($pathIds as $categoryId) {
       if (isset($categories[$categoryId]) && 
           $categories[$categoryId]->getName() &&
           $categoryId != $YOUR_CATEGORY_ID // Notice the extra category check here...
       ) {
           $path['category'.$categoryId] = array(
               'label' => $categories[$categoryId]->getName(),
               'link' => $this->_isCategoryLink($categoryId) ? $categories[$categoryId]->getUrl() : ''
           );
       }
   }
   

Replace $YOUR_CATEGORY_ID variable or set a value for it.

EDIT:

In case you don't know how to do a class rewrite

1. Open the file Mage_Catalog_Helper_Data.
2. Find the method getBreadcrumbPath. It starts with something like public function getBreadcrumbPath()

3. Replace the whole method with this code:

   public function getBreadcrumbPath()
   {
       if (!$this->_categoryPath) {
   
           $path = array();
           if ($category = $this->getCategory()) {
               $pathInStore = $category->getPathInStore();
               $pathIds = array_reverse(explode(',', $pathInStore));
   
               $categories = $category->getParentCategories();
   
               !$category_ids_to_remove = array(YOUR_CATEGORY_ID_1, YOUR_CATEGORY_ID_2);
               // add category path breadcrumb
               foreach ($pathIds as $categoryId) {
                   if (isset($categories[$categoryId]) && 
                       $categories[$categoryId]->getName() &&
                       !in_array($categoryId, $category_ids_to_remove) // Notice the extra category check here...
                   ) {
                       $path['category'.$categoryId] = array(
                           'label' => $categories[$categoryId]->getName(),
                           'link' => $this->_isCategoryLink($categoryId) ? $categories[$categoryId]->getUrl() : ''
                       );
                   }
               }
           }
   
           if ($this->getProduct()) {
               $path['product'] = array('label'=>$this->getProduct()->getName());
           }
   
           $this->_categoryPath = $path;
       }
       return $this->_categoryPath;
   }
   

Replace the text YOUR_CATEGORY_ID to the actual category ID of the category you want to hide. It should work after that.

Please take note that rewrite core classes is extremely not recommended as core files are replaced whenever you update your magento.