Damn, wish I didn't wait to make this, wanted to title it j.A...B...C ~ Your guide to V.Sion MBAA combos!
First off, if you're playing in Original mode, don't do double 6C combos. The proration is awful. All of this is also on the mizuumi wiki.
Crescent Moon:
You have 4B, which is half moon's 5B. This is handy for damage, and it moves forwards. Anything in parentheses is optional, adjust due to spacing. Malice combos aren't even listed as they are not worth it.
(2a x n) (5B) 2B 4B 2C 5C 3C j.BC sdj.BC ad.C airthrow
(2a x n) (5B) 2B 4B 2C 5C j.A...B...C land j.BC dj.BC ad.C airthrow
The later does a little more damage, and is also flashier, moves more forwards, and such. Handy!
(2a x n) (5B) 2B 4B 2C 5C 3C 623C 214/421C
Use that if you have meter. It is good damage, and a summon setup is very very good with that sort of damage.
For counter hits, I've been playing around with it, but I dunno if this is match practical.
5A/5B CH 6C dash 2[C] 5C 3C j.BC dj.BC ad.C throw
Somebody will have to mention if this is practical or not for me.
Half Moon:
Use either the combos listed in the first post, or...
2A 5B 5C 5A 6AA 6C dash 2C 5C j.A...B...C land j.C sdj.BC throw
Tricky, but extremely flashy, nearly 5k damage (those combos in the first post won't do 5000 with new proration)
Full Moon:
2AAA 5[ B ] 5C 214B j.A..B..C land j.C dj.AC throw
2AAA 5[ B ] 2B 2C 214B j.A...B...C land j.C dj.AC throw
Use the second one if you mess up and add the 2B, if you do 5C 214B, you won't be close enough. I don't know her ex combos or if they're really worth the meter for the damage.