I have had no past experience on sound proofing, but I wll have a go at answering your question
Over the last few days I have learnt a bit on the subject, as I am going to get a room built on the side of my parents house (going to live at home for a bit longer so I can afford all the equipment

)
One thing I have found is a product called
RockPlusHD Slab which is good for acoustic insulation on party walls and floors.
If you want to buy it, purchase from Wickes as they offer 20% discount if you buy more than £100 worth.
May I ask what equipment you use in your Home Cinema at the moment?
Anne