Both Star Alliance and Oneworld offer a bevy of Round the World ticket options, providing you align with the four golden rules mentioned above. Alliance tickets will also tend to calculate the airfare based on the miles travelled and the country of origin.
Take Star Alliance as an example. Their network of 26 airlines can connect you to 1250 destinations across more than 190 countries. Their airfares are calculated by miles flown, with the ability to cover 39,000 miles over 16 flights.
Star Alliance also offers a Circle Pacific ticket, which allows you to visit all the countries that border the Pacific Ocean within a 6 month period. Think Australia, NZ, Fiji, China, Japan, Southeast Asia, Vanuatu, Hawaii, the USA and Canada.