I don't really miss Moon Pride. I thought it was awesome the first time I heard it, but as time went on, I felt more and more bored with it. It doesn't seem to really capture what Sailor Moon is about for me. I don't care about Momoclo one way or the other.
New Moon (just going with an abbreviated name for now), though, really struck me as phenomenal. I absolutely love it. It's kind of a simple song, but I think it really delivers/conveys the core of Sailor Moon -- or at least it does a better job of this than Moon Pride does. I actually really like the Momoclo version, not necessarily because of the vocals but because the overall instrumentation in that version of the song is quite strong IMO.
As for background music etc., Crystal overall didn't make an impact on me. The background music, for the most part, is really bland and forgettable.