Well, abilities wise: for Elemental Magic - it's her profile (since she has no weakness in any area she should know all five elements), as for her Preparation (its from comments from Marisa's Grimoire), Alchemy - it's speculation mostly (even though Marisa's should know it too because of her spellcards).
AP and Durability is more about her profiles too (it's mention here and there about her being average almost in every parameter except dexterity).
EDIT: I forgot to ask DontTalk to check the changes. Thanks for reminding it. Got completely distacted.
I decided to do some more research and got confused with comparison of Alice and other Touhou youkais. Opened thread at general disscussion since it's more about statements of different characters instead of real power levels.
Well, as noted in KT CM Arcuied is not really different compared to normal Arcuied in terms of power. The difference though is actually in self-control. It looks like CM Arcuied under control of CM does not have problems with bloodlust so she can fight at full potential. Additionally CM Acruied probably has the same knowledge as CM and can use Rainbow ME / Ancient Nail attacks. It was said that Ancient Nail posses the same AP as full-powered Enuma Elish.
ATE is Arcuied as Type-Earth, kind of. She got full support from Gaia and because of it posses superior authority over Gaia Reality Marble.
Angel Notes is kind of vague in terms of power levels of every participant.
You mean BL Arcuied from MB? She didn't actually dropped the Moon. It was illusion. And I can't remember but it was something like 70% of 30% Arcuied. I look in MB games for more info though before doing anything.
Key: Tsukihime: Before Shiki (30%) | Tsukihime: After Shiki (3-5%) | Melty Blood/Act Cadenza (40-50%) | Red Arcuied (1/3 of ull powered Arcuied---33%) | Melty Blood: Post separation from Red Arcuied (100%) | ArcheType
Ap/Dc:Small City level to City level via power-scaling (should be at least on par with Berserker) | At least Large Bulding level | Mountain level to Small Island level (30% Arcuied is comparable to Servants, 40 to 50% should be equal to Saber or Gilgamesh) | At least Small City level to City level | At least Moon level, Small Planet level With Moon Drop | Far superior
Speed:Hypersonic+ (even with 30% of power she's comparable to Servants) | At least Supersonic+ | At least Hypersonic+ with High Hypersonic reactions, likely higher | Hypersonic+ with High Hypersonic reactions | Far higher | Massively Hypersonic+ can be boosted higher with Ultimate One skill, limited to her opponent's speed+1 up to a certain extent
Durability:Small City level to City level | At least Small Building level even when immensely weakened | At least Mountain level should be superior to Saber's armor | At least Small City level to City level | Small Planet level also, Immortality, Regeneration makes her virtually impossible to kill without destroying her soul or breaking her link with Gaia, In addition, she has no concept of death at night unless she is weakened in combat, and is further empowered by the full moon | Far higher, has a strong resistance to most conceptual weapons (including the ones which can strike at spiritual level)
Don't know among all of this where should be Crimson Moon Brunestud (Since you said that she can use Rainbow ME / Ancient Nail attacks. It was said that Ancient Nail posses the same AP as full-powered Enuma Elish.)
Well, about 40-50% Arcuied - we never saw her powers at all. So it's useless to mention her. Crimson Moon Brunestud is very vague too. So I think we should use 3-5% Arcuied (Tsukihime), 33% Arcuied (Red Arcuied), 100% Arcuied and ATE Arcuied. Others are too vague. Well, I'll try to find more info but they are really vague power levels.