By far, the easiest method (in my experience) for taming one of these little guys is this:
Beforehand, prepare about 50 narcotics, as it doesn't take too long to tame a lvl 150. You'll need either chitin or Pelagornis kibble. I would just use chitin since you only need about 80 or so for a lvl 150. Next, you'll want to have a bola. I would craft at least 3 in case you miss. Once it's tied up, go ahead and tranq it with tranq arrows or darts. You shouldn't need more than 20 tranqs. That's taking into account how often you may miss. But since it's tied up, you'll have far more than you need afterwards. I suggest letting it starve all the way down, and then putting in the chitin. That way your resources arent vulnerable until the last second. Wait a little bit, and you should have a lvl 150 Archa. Enjoy :) (Lower levels follow the same method with less resources, I simply used 150 as the example.)
To those whose archaeopteryx bug and disappear as soon as they hit the ground, the only solution I have is getting on a flyer that lets you equip things while riding them. I used my griffin and bola'd one while airborne. They will fall to the ground after. Lost 9 bolas trying to hit on while it was on the ground. Best of luck!
I see the Otter God, the Jerboa King and the Defender of Bulbdogs made an early move. Now I the Archaeopteryx Lord shall rise. If any one of you guys kill these birbs I will look for you and feed your soul to the ravenous birbs I own. So if you see one my birbs Naruto running away for you, DO NOT kill it instead be its friend, they are a great parachute and they are wholesome creatures to begin with. So you have be warned by the Archaeopteryx Lord...
Whoever said that archaeopteryx is not technically a dinosaur and that no dinosaurs have been discovered with feathers, you are dead wrong. Archaeopteryx is the closest link to both birds and dinosaurs, and modern birds today are technically classified as dinosaurs, scientifically speaking. Also, modern birds did not exist long before dinosaurs. Archaeopteryx was the earliest known creature that could be classified as a bird. Dinosaurs had been around for about 80 million years before archaeopteryx. Also, many dinosaurs have been discovered or theorized to have feathers. Humans didn’t “put them on,” many theropod Dinos had feathers, proving that they are related to birds. The many feathered dinosaurs found at that site in China were not “made.” They we’re well preserved by volcanic ash in the area. It has been scientifically proven that dinosaurs had feathers, and evolved into birds. Don’t lie.