We can’t use both for first names. We may use one as a middle, but not both names together. Which one do you think is better as a first name though?
[name]Viviana[/name] - my pick
[name]Anneliese[/name] (pronounced Ahn-uh-lee-zuh, may use [name]Analisa[/name] or [name]Annalisa[/name]) - DH’s pick
I think [name]Viviana[/name] because a) it sounds better [name]Viviana[/name] [name]Anneliese[/name], than [name]Anneliese[/name] [name]Viviana[/name], b) [name]Viviana[/name] is more familiar and will be less likely to be mispronounced c) i think [name]Viviana[/name] is more energetic and more feminine
I like [name]Anneliese[/name] with that pronunciation better. [name]Viviana[/name] is just too “frilly” sounding for my taste, in the same vein as [name]Liliana[/name], [name]Adriana[/name], etc.
If you’re pronouncing [name]Anneliese[/name] with an A sound at the end, then I think you’re better off going with the spelling [name]Analisa[/name] or [name]Annalisa[/name] (I prefer the latter as the first includes the world “anal” - not that big of a deal but I notice it). Overall I think I like [name]Viviana[/name] the best. I like the nickname [name]Vivi[/name] 
Good luck!
[name]Viviana[/name], and I would spell [name]Annalisa[/name] like so.
I agree with pp’s suggestion of [name]Viviana[/name] [name]Anneliese[/name] (pronounced [name]Ann[/name]-el-eese) or [name]Annalisa[/name] [name]Vivienne[/name]. Or maybe [name]Annalisa[/name] [name]Juliette[/name]?
I edited to make more clear we don’t want to use both names together. We like both for first names, but obviously since they both use [name]Ana[/name], are too similar to use as sibling names. By using one as a middle I meant something like [name]Claire[/name] [name]Viviana[/name], or [name]Zoe[/name] [name]Anneliese[/name], which are also first names on our list. I don’t like the [name]Annalisa[/name] spelling. Would Aneliesa work? For some reason I don’t like have the name “[name]Anna[/name]” in there. I guess I think of it as [name]Ann[/name]-[name]Elise[/name] verse [name]Anna[/name]-[name]Lise[/name], I know not much difference in sound and maybe it’s being too picky.
I agree with everything Hatter said. [name]Viviana[/name] is gorgeous and not likely to be mispronounced while the other is. Plus, when you make a combo of the 2, [name]Viviana[/name] sounds better in the first name spot.
I like [name]Anneliese[/name] better as a name but, with this spelling I think you’ll have a lot of mispronunciations.
[name]Annalisa[/name].
Like pp I find [name]Viviana[/name] very frilly.
[name]Viviana[/name]! [name]Viviana[/name] [name]Anneliese[/name]/[name]Analisa[/name] is lovely!
I like [name]Anneliese[/name]