We offer the service to restore a website from archive.org and convert it to a WordPress website. This works especially well if the original website was also created with WordPress.
The process is only partially automatic, which is why the price is higher than the regular HTML solution.
There is currently no fully automatic method to convert html to WordPress. There are some tools and services that make the process a bit easier (good services are: psdtowordpressexpert.com and Pinegrow) but they are more expensive and more difficult to use.
We wrote a script specifically for our scraping results from the WayBack Machine, which is why we can offer it at such a low price.
Keep in mind though that a restored WordPress version has limited capabilities. The database is not backed up, so we have to reverse-engineer a database, based on the HTML files. We build our own theme for every site that looks 100% identical to the archived version. However, it will not be as good as a WordPress site that was built from scratch, with a 'real' theme.
For example, there will be no theme options to change the colors, no sidebar and no widgets. For the majority of websites, it will also be impossible to change the theme, without severely disrupting the layout of the pages. Also, all posts and pages are recovered as pages. A category page (with multiple posts) will be restored as one page.
However, the recovered website will have pages that you can edit in the visual editor. It also features a menu integration, which means you can add or remove menu-items. You will also be able to add plugins in the WordPress dashboard, and edit the header and footer (in php)
So the solution is not perfect, but it is still the best service you can get for this price.