With the TinyVox Pro app for iPhone and Android you can turn anything into a podcast like Twitter, Facebook, or Tumblr. TinyVox Pro offers simple production elements and the ability to be mobile. For more information, see this article.
Spreaker.com is not the first website devoted to helping people create their own radio shows and podcasts. But, it does provide some new tools for helping you share your audio on social networks. Plus with Spreaker you can even broadcast live and it's free. Read more.
blogtalkradio is a Podcast and social networking site that offers a very easy way to create on-demand audio.
PodBean.com offers an easy way to publish your own audio and video podcast in 3 steps. There is not technology curve. You can share your podcast in Facebook, Myspace, Blogger, and other online destinations.
PodOmatic offers a basic and pro option. Basic provides easy tools, 500MB of storage and 15GB of bandwidth per month. Pro has more features for about $10/month. Find out more at the PodOmatic website.
Libsyn (Liberated Syndication) offers several levels of podcast syndication including storage space and an archive plan that promises to hold all your podcasts, unmetered bandwidth, and the ability to use your own domain, and more.
For those who are more inclined to create a website by registering their own domain and created audio files on their own terms, here's a piece of software you might want to look at. WildVoice Studio is a free Windows application that enables a professional-quality recording complete with theme music, special effects and prerecorded clips.