Thats a good start to investigating the clients needs. In order to produce something original, you should use this data to springboard onwards to other sources of inspiration, beyond the cinemoi webpage. This is especially important when trying to create a new way of selling the existing brand within the confines of the term 'classic'.
Even though they are targeting the French portion of UK residents, it is still a UK channel and enjoys a viewing audience from a wide variety of cultures. Are there any classic themes which are more general which can be incorporated?
Its great that you are putting so much thought into the clients brand identity.