The community edition is aimed towards communities with specific needs: news publishing, forum, blog, picture gallery, event calendar, downloads section, faq
The Corporate Edition is all about companies. Presentation websites with content rich pages editable through a powerful administration interface, picture gallery, job postings, FAQ, contact form
The Blogger Edition provides bloggers a powerful set of tools to manage their blog. They can use the whole arsenal of tools and power of TYPO3 to run their blog while having all modern blogging features like comments, rss feeds, seo capabilites and much more