I love those covers
moonfesta has that unique element of Kalafina, you can hear that previously in Hikari no Senritsu, my all time favorite Kalafina song, at least for me. It's quite rare for Kajiura to compose some folk melodies like that, the other one is Natsu no Ringo from seventh heaven.
So, you're looking for more Kajiura composition?
Allow me to give you some recommendation then. Since for me this is not just a thread for Kalafina but all of Kajiura works.
Spoiler:
If soundtracks, try these:
- Fate/Zero (Fate/Zero Original Soundtrack I & II)
- Kara no Kyoukai (the Garden of sinners -Gekijouban "Kara no Kyoukai" Ongakushuu-)
- Pandora Hearts (Pandora Hearts Original Soundtrack 1 & 2)
- Tsubasa Chronicle (Tsubasa Chronicle Future Soundscape I, II, III, IV)
- NOIR (NOIR ORIGINAL SOUNDTRACK I & II)
- The Works for Soundtrack
- Some of .hack soundtracks
Also, try other songs composed by her and her album as well:
- FICTION II (This is superb
)
- Everlasting Songs (This is the release that Kajiura fan must listen)
- 2008-2010 The BEST of Yuki Kajiura LIVE (Collection of lives, really nice)
There are some songs that very memorable for me, for example:
- canta per me - from Noir soundtracks
- Mezame - from Mai Hime soundtracks
- In the land of twilight, under the moon - from Tsubasa Chronicle soundtracks
- the world, vanity & Liminality - from .hack series soundtracks
- a song of storm and fire - from Tsubasa Chronicle soundtracks
- Akatsuki no Kuruma - song from FJ YUUKA
- stone cold - song from FictionJunction
- Calling - song from Oda Kaori a.k.a FJ KAORI
- Sora wa Takaku, Kaze wa Utau - song from Haruna Luna
Oh, please watch this too, for your delight~
For me, this is one of the best performance from them, really.
The whole concert is worth watching too.
Quite a list

I'm so excited when anyone new is into Kajiura, I hope you like it.