There is no direct flight from Melbourne to Amsterdam or Paris, but connecting flights with one transfer are available daily. From Melbourne to Amsterdam, conjoint flights are mostly with transfer at Kuala Lumpur or Hong Kong, which are respectively operated by Malaysia Airlines, Royal Dutch Airlines and Cathay Pacific Airways. From Paris to Melbourne, connecting flights are mostly via Singapore, Kuala Lumpur and Bangkok, which are operated by Singapore Airlines, Malaysia Airlines and Thailand International Airlines. As for the flat beds availability, it is various from different airlines and you can check with them directly.