Sorry, I think you should cross Anarchy and Rebel of your list straight away. That's like calling someone Hades or Judas - you might like the names but you're asking for a heck lot of association issues, and if they turn out to be poorly behaved, people will say you brought it on yourself (superstitiousness goes a long way).
Girls:
Instead of Anarchy, how about Annalina, Anya, Anelle, Anais (ah-nay-iss), Anastasia, Annabeth? Jessica Ellen are lovely mns.
Instead of Rebel, how about Arabelle, Arabella?
Avia, Cara, January, Joy-Anna (someone suggested Anna-Joy, which is nice too), Kendall, Nova, Tyla, Vienna and Xanthe are all nice. Jocelyn is nice, but I don't like Josslyn.
Emilia, Madison and Sophia are really nice too, but they are quite popular.
Emilia Valentina
Favourites are January, Joy-Anna and Xanthe.
Boys:
Chai - as in chai tea? Nice, but tea is the first thing I think of.
Daxton - not keen on surname sounding names.
Felix - nice, but popular
Gage - don't like at all. Sounds like 'cage' and 'let's see how nice I gauge this boy to be'.
Jonah - nice. Bit biblical for me personally
Jedediah - as above, but strangely, nicer
Jeremiah - as above, but strangely, even nicer :P
Kennedy - don't like. Surname. Also seen it more often on girls.
Palmer - don't like at all.
Phoenix - don't like
Wyatt Jett Everett - all acceptable.
Xavier - nice
Zac - nice. Prefer Zachariah. Or Zack, if you wanna keep it short.
Favourites are Felix, Jonah, Jedediah, Jeremiah and Zack.