Oh gosh you are going to be SWAMPED.

Somewhere Wild, which came out yesterday.

Master of Tides.

Elements.

Phantom of the Opera.

Into the Woods Medley.

Spontaneous Me.

Take Flight.

Beyond the Veil.

It really depends on your tastes. If you like stuff like Somewhere Wild, listen to Dying for You, All of Me, and We Are Giants. If you like Take Flight/Master of Tides/Beyond the Veil, go for Stars Align and Roundtable Rival. If you like Spontaneous Me, go for some good old fashioned Electric Daisy Violin. 

*starts sobbing* I WILL MAKE YOU LISTEN TO HER MUSIC FOR MY SLEEPOVER. THAT'S RIGHT. ALL. NIGHT. LONG. XD, JK.

Oops. Forgot to answer the question. Personally, I think you'd enjoy Electric Daisy Violin. But my favs are

Shatter Me (Somebody feel the light and shatter me!)

When the stars align (OHMIGANDALF SOOOO GOOD!)

and We are Giants, but all of her songs are awesome. 

ohhh, you HAVE to listen to SHATTER ME  Lindsy plays the violin in it I don't think she sings it, but It's SOOOOOOOOOOOOOO GOOOOOOOOD

Oh wow, that's hard. Like Indigo said, it really depends on your taste of music. For a more pop-sounding one (assuming that's what you like), I recommend her Shatter Me album. On there, the best for a pop-sound are: V-Pop, Roundtable Rival, Master of the Tides, and Take Flight.

If you enjoy a more classic sound, I recommend her self named album with some of the songs of: Electric Daisy Violin, Moon Trance, Song of the Caged Bird, Transcendence, Elements, and Shadows, and Crystalize.

For a more spontaneous, fun sound, I recommend: Swag, Spontaneous Me, Anti-Gravity, and Stars Align.

For lyrics included, I recommend: We Are Giants, Radioactive Cover, and Shatter Me.  

I haven't heard her Brave Enough album yet (sadly). For my favorites so far: Roundtable Rival, Transcendence, Crystalize, Moon Trance, Swag, Shatter Me, etc. I love all her work. Just experiment around! Just to note, Spotify has all her music besides the newest album. And of course, YouTube does. 

Thanks so much, guys! I listened to the Daisy guitar one and a few others... Including shatter me which was awesome. I like to listen to music with lyrics, so unfortunately there are only a few which I liked... But the lyric ones were great! 

I meant electric Daisy violin. I liked that. 

Listen to the album "Shatter Me". It has some pretty good songs in it.

Here's a list of my personal favorites:

The Arena. It just came out recently.

Heist. Also fairly recent.

Master of Tides.

Shatter Me.

Stars Align.

Shadows. 

And Roundtable Rival 

*jaw drops*

Wow!!!!!!!!!!!1 I just listened to one of her songs and ohmygosh it sounds so good!

So...I can listen to stuff like this on the internet. I see you guys have already posted your favorite songs of hers. What are her best albums in your opinion?