With mandatory connections counted, you've got too many European and too many Asian segments. You'd need to set priorities as to which tickets to include in the RTW and which to purchase separately outside the RTW. You might have a look on the Oneworld site at the various "Visit XXX" programs -
http://www.oneworld.com/ow/air-travel-options - that might be useful for short hops that would otherwise consume valuable RTW coupons, often at fares competitive with low cost carriers.