Here is a quick pass at an unoptimized route that meets your requirements: fco-lhr-bom-bkk-syd-drw-mel-chc-akl-scl-uio-mad-fco. This would require a 34,000 Global Explorer or a 4 continent OWE. They are priced the same in business (€5000) but the OWE is less expensive in coach (€2400 vs €2900).
If you choose the OWE you can make some extra stops and side trips in SA and Asia.