The files you need to override are at \components\com_content\views\featured\tmpl\default_item.php
and \components\com_content\views\category\tmpl\blog_item.php
Important : core files should be overridden in your template, and the core code left unchanged.
The fields themselves are generated by the lines
<?php // Content is generated by content plugin event "onContentBeforeDisplay" ?>
<?php echo $this->item->event->beforeDisplayContent; ?>
Note that removing these lines will also stop any other plugin which uses this area from working. As far as I can tell, the only other thing to use it is the voting system. If you need that, then you may need to write a bespoke plugin or just hide the area with CSS.