well, how about something like:
LAX - ATL (connect) - Cape Town (stopover) - CDG (connect) - LHR (use London as a base to explore Europe using Easyjet, Ryanair or try
www.europebyair.com) - CDG (connect) - Bangkok (explorer Thailand - possibly Laos/Cambodia) - Seoul (connect) - Sydney (stopover) - Seoul (connect) - Sao Paulo (stopover) - LAX