After months of testing in beta we open registration http://archiveorg.download/ Interface is very simple, just enter domain name, choose the date and click save. Before download website in zip archive you could preview it.
I'm trying this at the moment, it takes a good while for the scraper to get it processed. looking forward to see the results.
There is another Wayback Machine Downloader https://en.archivarix.com/ The free download limit is only 200 files but it makes clean sites without broken images, 404 pages, external scripts, counters and other trash. And it has php loader to work with any CMS like Wordpress, Joomla etc.