As an example, I found seats departing LAX on Wednesday, September 11, and returning from TPE on Thursday, September 26, 2019.
This flight is offered daily if you are willing to make two connections on the return leg. For those who wish to have only one layover, departures are available Monday, Tuesday, Thursdays, and Sundays from late August through mid-November at this price.
These fares include a standard carry-on bag and two free pieces of checked luggage up to 23kg/50lbs each.
Standard advanced seat selection is included.
EVA Air and China Airlines fly this city-to-city route nonstop. However, their airfares are topping in at over $704 roundtrip on similar travel dates. If you prefer to fly to Taipei without connections, they will be your best option, but you'll have to pay roughly $225 more for that convenience.
Most itineraries will require a long layover on the return leg, but Xiamen Airlines will provide free accommodation for qualifying tickets with 6 hours or longer in transit time.
See our fare details for booking info.
For more low fares departing LA, check out our Los Angeles (LAX) flight deals page.
Looking for a hotel in Tapei? Hotelwatchdog will get you started with this list of available accommodation for the sample dates mentioned.