I want to book a direct flight over the Pacific but I found none. I wonder where can I find any ticket that meets this criteria. Thank you!
Arica, Chile only has a population of about 222,000 people, so it would be very unlikely to have any long distance, direct, non-stop flights to anywhere.
Edit: There are direct, non-stop flights between Santiago, Chile, and Sydney, Australia, but they may not operate daily, or year round. On some days you would need to do an enroute stop in Auckland, New Zealand.
Arica has a tiny domestic airport that only serves 3 different destinations.
i wonder if it's possible to book a flight that goes from sydney to chile and stop in auckland ?
Yes. Here are options for Sydney->Auckland->Santiago for Oct 18
You can get tickets from Sydney to Arica, but none stop in Auckland and most include an airport change in Melbourne (not a good idea). I think you are better off booking from Sydney to Santiago (you have to go through there anyway) and a separate ticket from Santiago to Arica.