WebSite Auditor scans pages for code errors, duplicate content and other structure-related issues they may have. Other than that, there is this on-page optimization module, which allows determining the ideal keyword placement and researches page elements that can be optimized. In WebSite Auditor you can also analyze competitor’s pages to compare of to improve own on-page strategy. There are actually more features, I just won’t be listing all of them here. But this is the best solution with regard to on-page optimization I found so far.
SEOptimer is a free SEO Audit Tool that will perform a detailed SEO Analysis across 100 website data points, and provide clear and actionable recommendations for steps you can take to improve your online presence and ultimately rank better in Search Engine Results. SEOptimer is ideal for website owners, website designers and digital agencies who want to improve their own sites or theirs of their clients.