Some common SEO mistakes include repeating keywords excessively in titles, overusing keywords throughout pages, and lacking essential technical elements like a sitemap, unique metadata, and alt text for images. Specifically, the document outlines mistakes like repeating the same keyword in titles, having too high of a frequency for keywords, missing a sitemap, lacking keywords in URLs, overusing H1 tags on a single page, and not having unique metadata for each page. The key advice is to include important keywords but not overdo it, and implement standard technical elements to help search engines properly index content.