All the way to LIH. AA does PHX/LAX-LIH with the A321NEO.

As of now it’s possible to fly around the world solely on 737s with seemingly endless possibilities. . Other routings would even be possible such as going to Hawaii then Fiji then Australia since Fiji Airways operates 737s to Hawaii. I believe it’s also possible to do it on Airbus narrowbodies now that HA has the A321NEO and flies the A321NEOs to both the mainland US and to Rarotonga. From RAR you can pick up an NZ Airbus narrow body to AKL and then NZ or JetStar narrowbodies onward to Australia and then work your way from Australia across Asia to Europe and then complete the TATL crossing on an Aer Lingus or TAP Portugal A321NEO.