archive.today does that by rewriting the page to mostly static HTML at the time of capture.
archive.org indexes all URLs first-class and presents as close to what was originally served as possible. It also stores arbitrary binary files and captures JS and Flash interactivity with remarkable fidelity.
When logged in, the archive.org Save Page Now interface gains the options of taking a screenshot and non-recursively saving all linked pages. I cannot reason why—the more saved, the better, right?
archive.org has a browser extension too