All the award rules are particular to individual airlines' frequent flyer programs, not the alliance's. There's sometimes confusion when Oneworld member airlines (e.g. American) offer "Oneworld" awards; but it's the American FF plan, and not Oneworld, that sets the rules for those sorts of redemptions.

IIRC you can transfer AX points into both British Airways and Iberia. So you would need to look at those airlines' FF programs to see if there was an award scheme/feature that would take you around the world. Note that with most airlines "around the world" is not any one award; one can book a RTW using miles/points redemption just by putting a string of flights together; there's no particular "RTW" award product or tier. With AA, you can use the AA "Oneworld" award to put such an itinerary together, or you can use a string of "all-partner" awards to do the same thing.