Eve Magdalene {or Shiphrah, or Tamar as middle names. opinions?} - I like Eve quite a bit, though I usually have it as a middle name. Do you like the nickname Evie (or any other spelling)? I like the nn quite a bit. Magdalene is okay, not a personal fave of mine but still very nice. It flows alright with Eve. I like it better than Shiphrah (makes me think of ships) and Tamar (which sounds sort of masculine to me). I'll admit I've never heard those two before. If I may make a suggestion? Evelyn looks a tad bit more complete to me as a first name, and definitely has a stronger feel to it. Plus, you could still call her Eve or Evie.
Cassia Bethel - Beth is one of the few old-fashioned names that I hate, no offense. It just sounds flat and bleh to me. Bethel is almost worse than Beth. Cassia, on the other hand, is gorgeous. I would never use it, but I certainly find it fun, endearing, and a nice twist on the tired Cassandra.
Beatrice Lydia - Beatrice pretty much the same as Beth, slightly worse than that if anything. Lydia is nice, and I really do like it.... BUT I was on Y!answers the other day where someone mentioned that they took Lydia off their fave list when they got a comment that it rhymes with chlamydia. I didn't notice it until I read that, but not the name is ruined for me.
Grace Maryam - LOVE this. It is amazing, and I honestly would have said I hated the name Maryam before I saw this. Wow. Perfect 10. Oh, and even though I late say that I don't like virtue names, that mostly extends to them either being obnoxious (Chastity/Destiny) or being boring filler middle names (Hope, Faith, Grace). I think Grace makes a good and interesting first name, especially since I'm so tired of it in the middle.
Dahlia Esther - I love Dahlia too. It is in my top 15 girls first names for sure. A real shame that some people think of the Black Dahlia every time they hear it. The woman's name wasn't even Dahlia. That is the only reason it isn't higher on my list.
Charlotte Sveta - I'm not a fan of Charlotte. It is only on my list as a possible way to honor my father (Charles). The only variation of his first or middle name that I can stand, and he doesn't like his name that much either. Sveta is nice and interesting, it definitely spices up Charlotte. I do immediately think of Russia though, and since your Italian I don't know if that is something you want to avoid or don't care about, but I'm just putting it out there.
Bianca Elisabeth - Bianca is on my list, but it is certainly a name people I've talked to tend to dislike. It has dropped quite a few places on my list since I put it on there. Elisabeth is okay. I prefer Eliza though becase, as I stated before, I really dislike Beth. Eliza just seems more streamlined and sophisticated to me than Elisabeth/Elizabeth.
Vivian Mercy - I really dislike most "virture" names. Mercy is definitely different, but I think of hospitals, people on their death beds, and the Angel of Mercy/Death. I think you could do better with Vivian. Vivian is a nice, solid name. I like it even though it isn't my style. Could I suggest my favorite virtue name? It has special meaning to me, and I don't see it all that often - Serenity. I wouldn't use it as a first name, but the word brings thoughts of peace
and prayer to my mind without being as loud/pretentious as Chastity, Destiny, Trinity, etc.
Cecelia Joy - Joy is better as a middle name than Hope, Faith, or Grace, but I'm still not fond of it. Cecelia is awesome, though not the best on your list. I love seeing it and I must admit the flow is nice.
Caterine Moriah {but I've also thought of Anaiah & Hosanna for mn's. opinions?} - I prefer Catherine/Katherine. Caterine makes me want to say Catarina or Catriona or Katrina. I do see why you changed it, though, since it does flow better with Moriah without the 'h'. Moriah is okay, I just find is a little less that pretty. Just not great. I think I like Anaiah best of the 3 middle names, but you would definitely have to put the 'h' back in.
Anika Temperance - Temperance makes me think of Bones (that TV show), and I do sort of like it. I would warn you that the name is sort of punny (I don't know if that is a word but oh well). It immediately made me think, "I need a Temperance." I know that doesn't make much sense, but what I'm trying to say is that if you do use Anika, pair is with a name that isn't a word name. Also, are you pronouncing it as (AN-ee-ka) or (Ah-NIH kah)? Babynames.com has it both ways, but I'm using the first one.
Livia Nadine - I'm watching the Sopranos this week, and Livia (the character) is a really horrible old lady so obviously I can't be fair about it. Nadine is okay. They flow well. I'm just not into the names.
I'll try to be quicker with the boys names because this is taking forever:
Isaac Daniel - Not a fan of either name. I like Daniel slightly better. Not the best flow.
Henry Joseph - This one has fantastic flow, though I like Joseph quite a bit more than Henry and would do Joseph Henry instead. I think that flows just as well, but if you like Henry better for a first name then keep it. My fourth favorite.
Julian Ezra - I actually like both name. Julian isn't on my list though, since I have Juliana Soleil on their and I can't bear to part with it. Ezra isn't on my list either, but I appreciate the sound of it. This combo second favorite.
Liam Alexander - I like Liam better as a nickname for William (my 3rd favorite boy name) because I also like the name Will. Liam is fine and everything, William is just a personal preference. I do not, however, like Alexander. I never have, and can't really explain it since I like Xander a lot.
Elijah Samuel - love Samuel (#9 on my top 10). Elijah, not so much. I just don't think it is a very strong name, and those are the ones I tend to like. The flow it very nice, though.
Nicholas Jude - Nicholas is okay, and Nick is an okay nickname. I prefer Judy on a girl and I don't like Jude much. On the other hand, this is the best Jude combo I can remember seeing. Every time I see Jude, people pair it with a really short name and it sounds ridiculous. It goes very well with Nicholas. My second favorite of your original names (would be third if you switched to Joseph Henry).
Maximilian Jace - I like it. An excellent combo, and I usually don't like Maximilian. I prefer Maxwell, and only as middle name. Jace is very cool in this combo. The word that comes to mind is sleek. As in sleek and stylish. This name has real character. My favorite on your list.
Ephram David - Ephram sounds old to me. David is overused but still nice.
Finn Gabriel - Love Gabriel, especially as a middle name. Finn is one I really dislike. Makes me think of sharp fins on a fish.
Matthias Levi - I prefer Matthew to Matthias, but I can understand why you wouldn't - Matthew is super common after all. Matthias is alright in my eyes, but Matthew is my fourth favorite boys name and it has a special place in my heart. Levi is okay, makes me think of demin and jeans. The combo flows quite nicely.
Asher Emanuel - I like Asher okay. The nn Ash is awesome. Emanuel is alright. Not my type of name. Flow is nice, just not quite as good as the rest.
Micah James - finally! The last one. James is a good, solid middle name. I'm just not sold on Micah and I think the pair is very short. I said it out loud a few times and just didn't like it.
DONE.

Good luck!
EDIT: I just wanted to say that overall, I really love your style of names and think you have some real winners. I like: Grace Maryam, Maximilion Jace, Julian Ezra, Henry Joseph, Nicholas Jude, and Matthias Levi. In that order. Most of the rest are still good names, and I wasn't trying to bash them. Just trying to give constructive criticism.