My site (https://www.l-a-r-s-e-n.dk/) having the same error, and the same missing file. It works fine with older versions, but not the latest.
//<![CDATA[
var sbsl = new SWFObject(“https://www.l-a-r-s-e-n.dk/wordpress/wp-content/plugins/nextgen-gallery/imagerotator.swf”, “ngg_slideshow4”, “970”, “172”, “7”, “#000000”);
sbsl.addParam(“wmode”, “opaque”);
sbsl.addVariable(“file”, “https://www.l-a-r-s-e-n.dk/wordpress/wp-content/plugins/nextgen-gallery/nggextractXML.php?gid=4”);
sbsl.addVariable(“linkfromdisplay”, “false”);
sbsl.addVariable(“shownavigation”, “false”);
sbsl.addVariable(“showicons”, “false”);
sbsl.addVariable(“overstretch”, “true”);
sbsl.addVariable(“backcolor”, “0x000000”);
sbsl.addVariable(“frontcolor”, “0xFFFFFF”);
sbsl.addVariable(“lightcolor”, “0xCC0000”);
sbsl.addVariable(“screencolor”, “0x000000”);
sbsl.addVariable(“rotatetime”, “4”);
sbsl.addVariable(“transition”, “fade”);
sbsl.addVariable(“width”, “970”);
sbsl.addVariable(“height”, “172”);
sbsl.write(“ngg_widget_slideshow4”);