I think beacons are potentially the only thing you want to leave on a static web site, out of all possible javascript assets. And it'd be best to load them asynchronously (which pretty much all the tags already do, by creating a request <script> tag dynamically).

Certain tags also provide noscript 1x1 gif, so even your analytics is gracefully degraded!

Potentially web fonts are another candidate for a necessary javascript inclusion (css fonts are load blocking unfortunately), but that's by itself is pretty excessive.