Boys-
[name]Noah[/name] - Ahh, [name]Noah[/name]. [name]Noah[/name] was a favorite of mine when I was a little girl, because I loved the story of [name]Noah[/name]'s Ark. It’s got a soft, wonderfulness about it and you just can’t imagine [name]Noah[/name] being a bad guy, right? Apparently a lot of people feel that way, because the name is quite popular (#9). If that doesn’t bother you than it’s a great name, but for me, it’s gotten too popular 
[name]Levi[/name] - [name]Levi[/name] is a great name. It’s strong, rugged, masculine, biblical and bit reminiscent of old Western films and comfy jeans. This name has reached a very comfortable level of popularity. I don’t think people hear the name and think “where the heck did that come from” (or assume the parents are very religious, like [name]Ezekiel[/name] or [name]Josiah[/name] might), but rather “hey, that’s a cool name you don’t hear all the time”. It’s been on the uptick, so who knows how popular it will ever get, but again, this is a name that has lots of redeeming qualities that can bypass popularity if you love the name.
[name]Jack[/name] - I’ve always felt a bit “ehh” about [name]Jack[/name]. Due to it’s one syllable-“ck” ending sound, it has a spunky, high-energy, playful feel, which is why I associate it with puppies, I think. Of course, it’s a great name with lots of history, and tons of people are using it, so you should too if you like it a lot.
[name]John[/name] [Can you see this on a baby?] - Yes, I can definitely see this one a baby. I actually know a baby named [name]John[/name], well [name]John[/name]-[name]Tyler[/name] (sometimes known as JT), and he’s named for his father, and it suits him beautifully. [name]John[/name] is a name that will never go out of style, never be teased, never be questioned. Is a bit boring? Yeah, to some. Is it classic? Definitely. Can you call a [name]John[/name] by the nickname [name]Jack[/name]? Sure. There you go, two of your favorites in one!
[name]Gideon[/name] - [name]Gideon[/name] is my favorite biblical name. [name]Gideon[/name] challenged God but fulfilled his wishes, he also was extremely humble and when the Israelites asked him to be their king, he refused, saying that only God could be their king. I’m not very religious or anything but I do think the name has a wonderful story behind it, which is good to know. [name]Gideon[/name] is very hip to me, cool and laid back, fun but serious. My favorite on your list.
[name]Damon[/name] - This name has a 90s-Soap-[name]Opera[/name] feel to it for me. I have no idea. I didn’t know anyone named [name]Damon[/name] in the nineties and I don’t watch soap operas, but that’s that. No, but in all serious, I personally don’t like this name, but I think it’s fine. It lacks some of the classicness the other names you like have. But it’s a solid name that could fit a number of personalities.
[name]David[/name] - With great effort [name]Dave[/name] could be avoided, but I’m not sure how realistic that is. My Dad’s name is [name]David[/name]. Lots of people call him [name]Dave[/name]. Not officially, but more as an affectionate nickname (he was [name]Davey[/name] as a kid). [name]David[/name] is solid, classic, biblical, and timeless. You can’t go wrong with [name]David[/name] and it really doesn’t feel overused like some other biblical classics.
Girls-
[name]Anna[/name] - [name]Anna[/name] is a brilliant name. I love it even more when its [name]Ana[/name] ([name]AH[/name]-na). It’s simple but gorgeous, pretty, feminine, literary, historical and, yeah, it’s popular, but it’s not dated or trendy. [name]Annie[/name] is also my favorite musical and I find the nickname spunky and sweet.
[name]Kate[/name] - Yay for [name]Kate[/name]! [name]Kate[/name] is the only nickname I like as a full name. [name]Kate[/name] is spunky, fresh, girlish but not frilly. It’s got history, class and literary references.
[name]Lydia[/name] - [name]Lydia[/name] is elegant and pretty, not too popular and kind of a hidden classic. It makes me think of Pride and Prejudice and [name]Jane[/name] [name]Austen[/name] and all things lovely. It’s a great name.
[name]Caroline[/name] - [name]Caroline[/name] is one of my best friends names. It suits her wonderfully. It’s vintage and feminine, but sort of no-nonsense and sophisticated. The name sort of lacks excitement for me, because I hear it a lot in my day to day life, and I find it a bit heavy on a baby. I personally don’t love the nicknames, so I wouldn’t use it, but if you do that’s great.
[name]Madeline[/name] - [name]Madeline[/name] is great. [name]Maddy[/name] is overused. If you will call your [name]Madeline[/name] by her full name, more power to you! Though I’m not sure how possible that actually is. I just have met so many young Maddys ([name]Madeline[/name], [name]Madelyn[/name], [name]Madeleine[/name], [name]Madison[/name], etc.) that the nickname has lost its charm. But I do like [name]Madeline[/name] (are you saying Mad-eh-line or Mad-eh-lyn? I prefer the first) and I love that it reminds me of the children’s book character, [name]Madeline[/name], who is super spunky and French and cool!
[name]Everly[/name] [or [name]Everley[/name]] - [name]Everly[/name] feels trendy to me. Anything ending in “ley” feels trendy I think. [name]Everly[/name] is sweet, but I think [name]Ever[/name] is actually kind of cooler. It’s spunky and charming and you can girlify it by nicknaming her [name]Evie[/name].
[name]Hope[/name] that helps!
Good luck! 