Noblogs.org is a bloggin platform that uses Wordpress for the backend, so it's very easy to use. However, unlike mainstream sites like Blogspot, you can use the platform completely anonymously. None of your data is logged and the site is run by an Italian collective rooted in radical organizing.
From their website:
Noblogs.org is a project run by the A/I Collective who has been providing communication and cospiration tools to activists for at least 10 years. Those who gathered around this blogging platform of ours share our manifesto and broadly our aims: struggle for a world where fairness, equal rights and freedom are the corner stones of people’s life; fight back a society too interested in controlling us and in knowing who we are instead of what do we think or love/hate; resist to the widespread idea that any single moment of our life can be traded with money or economically valuable stuff.