I recently came across an interesting presentation on geocentricism by Robert Segunis, which expresses his views. While Segunis believes that the earth is round, he believes that the earth is motionless, and takes us through some of the evidence for a motionless earth. Segunis talks about the motionless earth experiments, providing the words of various surprised physicists who refuse to believe that the earth is motionless, and looks at various cosmological data.
The presentation is about two hours long, feel free to jump around. I've started it at the part with Einstein:
This is not Segunis' own personal information that he is presenting. He is merely presenting the words of scientists to us.