[Translation] Shake It♥

[masa]

We love pure, honest, beautiful,
Sly, fickle and new things

It seems you are misunderstanding a bit in this stanza. "Atarashiimono-zuki" is actually one adjective, though quite long. So this is the enumeration of 6 adjectives indeed.
And "tadashii" and "shoujiki" are different. I think it's better to use "right" or "righteous" instead of "honest".
Also, "sly" is a word of such a negative sense, isn't it? But as you see, she is not using these words as so negative senses. So I think another word which is not so negative would be better in this case.
Putting things together, this is my supposition.

Pure, right, beautiful
Crafty, fickle and loving new things