Here are the slides and links from “Technically, SEO,” in which I ranted, raved and talked about technical SEO for marketers. This focuses on issues I found on automotive industry sites, but it all holds true everywhere.
checkgzipcompression.com: Test whether your server is using GZIP compression
Google Page Speed Insights: Site speed analysis. I don’t love it, but if Google speaks, you need to listen
httpstatus.io: Check for redirection and correct server response codes
Majestic SEO: Link authority and analysis
Moz Open Site Explorer: Another must-use link analysis tool
Robotstxt.org: The definitive guide to the Robots file and meta tags
WebPageTest.org: Web page speed testing, including rendering time