Australia, New Zealand & the South Pacific - Fligths between Cook Islands and Tahiti

As Air NZ will discontinuing its flights between LAX and PPT next April I have problems finding a flight between RAR and PPT or RAR and RFP. Do anybody knows if their are other companies which fly between Cook Islands and Tahiti but not going via AKL?

None. Your only choice is charter (offered by Air Rarotonga, see http://www.airraro.com/clientpages/raro/about_us.html). For scheduled service, you have to go via AKL.