Innovative topics for a classical mechanics term project include exploring the hexagonal halo phenomenon at Saturn's poles or designing a rotating wheel for artificial gravity in space stations. The discussion highlights the historical interest in such projects, referencing papers from the 1970s. Challenges in these models, particularly related to Coriolis forces, are noted as significant issues. Problem-solving approaches can range from traditional questions to more complex phenomena. Engaging with these topics can lead to exciting discoveries in classical mechanics.