jquery fancybox 2.0.3 - prevent close on click outside of fancybox

Use this option:

helpers : { 
  overlay : {closeClick: false}
}

so your final script should look like:

$(document).ready(function() {
 $(".various").fancybox({
  closeClick  : false, // prevents closing when clicking INSIDE fancybox 
  openEffect  : 'none',
  closeEffect : 'none',
  helpers   : { 
   overlay : {closeClick: false} // prevents closing when clicking OUTSIDE fancybox 
  }
 }).trigger("click");
});

hideOnOverlayClick and hideOnContentClick are options for Fancybox v1.3.x

The OP asked about fancyBox 2.0, but if you came here looking for an answer and are using fancyBox 3.0+, you can simply do:

$('.various').fancybox({
    clickSlide: false, // disable close on outside click
    touch: false // disable close on swipe
});

You can also completely disable the close button by adding smallBtn and toolbar to the options array and setting both to false.

Tested with fancyBox 3.5.7.