What you're talking about is basically getting your site indexed quickly. There is really no point anymore, because Google and other bots do a thorough job of crawling the internet. But if you mus, I would add setting up an RSS feedburner and submitting to directories to your list
Try submitting the XML sitemap on Google Search Console (earlier Webmasters tool) Also, for specific pages, you can use the 'fetch and render' feature on the search console (there is a limit of the number of pages you can submit per month)
All of the above, as well as "linkbuilding" (especially from highly crawled sites). Your signature counts for crawling.
The best way to summon Web Crawler is to use Google Webmaster Tools. You can also write meta code: <meta name="revisit-after" content="2 days"/> in Page to make crawling faster.