Don't hesitate. Read it.

If you loved the anime, this will be great

If you hated the anime, this is redemption

Well...
If you havent watched the anime, Watch the anime first, the series, and then come back.

Although it's my personal opinion, this is much better than the anime. It's cleaned up, brings all of the characters together in a good manner, and the character development is much more enjoyable.

The psychological scenes have more meaning and aren't thousands of random pictures and images being thrown into your face

I haven't read a lot of mangas, but I couldn't stop reading this. It's funny, has lots of emotions, and brings to the table everything I love about NGE, and even more.

A nice change is that Shinji isn't such a whiner. He's more rebellious than anything, yet maintains his identity. (Thank the Gods)

It sticks more to the Series than anything, yet it takes its own path which was incredible. It also has a smooth transition to now-a-days Rebuild Movies. Which gives it a oh hot diggity dayum moment in the final chapters

It definitely goes into more detail about characters that were never truly explained
Example:
Kaji's past
Yui's past
Gendo's past
And even dives deeper into Asuka's past
Well, just about everyone's...
(And clears up a lot of what was not explained in the Series)

And Rei talks, and theirs romance, and feels, and ugh!! It's great!!