pianoperson

Any reason why you are going for a AONE4 instead of a DONE4 ?

• Your flights on Royal Jordanian (RUH-AMM-MCT) and the trans-tasman hops won't have a first class and will book in business.
  
• The North American flights on a DONE4 will book in first class on two class flights (which most of your's are).
  
• According to mileage monkey, first class is also absent on HKG-HND; and possibly HND-SIN if that is on JAL. (Mileage Monkey doesn't display a flight for HND-SIN).

Here's one possible routing - 53428 miles.

ruh-amm-lhr-lax-dfw-anc-dfw-mia-bda-jfk-hkg-bom-hkg-akl-syd-lhr-mct

(you'll need to buy akl-wlg-akl; hits all the other cities you need to be in).

Unless you have to return to RUH, you can finish the trip in MCT.

Routes with First Class (excluding north american routes) are;

lhr-lax
jfk-hkg
akl-syd (F available only on LAN)
syd-lhr
lhr-mct