Answer:
No, they have a terrible safety record. They buy second-hand planes.
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Right, China Airlines did have some fatalities, but that was the past. There isn't fatalities now, which means that they improved a lot. The fleet of China Airlines is strong, not lame. They're purchasing A350s, which is developed by Airbus. They are also one of the 4-star airlines.
I'm Taiwanese, i flew in China Airlines for more than 10 times across the Pacific, they have a stunning entertaining system on flight. And guess what, I'm pretty much safe after those flights!
I agree, I'm Taiwanese too. China Airlines does have the best entertaining system on board. I live in the US, flew more than 20 times, but i still feel safe. And they don't have a majority of second hand aircraft s, they just bought 20 A350s!!