|From left to right: Code Geass - Lelouch, C.C, Suzaku. Death Note - L., Light, Ryuk.|
Let's take a look at the plot's now. We'll start with Death Note.
Death Note follows Light Yagami. A young adult who is ready to enter University, who hates the current world full of crime and corruption. One night however, A Death God, named Ryuk, drops his "Death Note". A notebook that will kill anyone who's name is written in it. He then uses this notebook to try and become a God and change the world, into a crime free world, under the alter ego of "Kira".
Code Geass follows Lelouch Lamprouge, a.k.a Lelouch Vi Britannia, an exiled Prince of Britannian decent who lives in the recently conquered (By Britannia) nation of Japan, now renamed area 11. The world is constantly at war thanks to Britannia. Lelouch wants to change the world into a more gentle place for his younger sister Nunnally, who is both blind and crippled, and is given a power from an "Immortal Witch" named C.C known as Geass. His Geass allows him to make anyone obey any order he gives once. With this along with something akin to that of a Terrorist organization he formed known as the "Black Knights" he sets out to crush the Britannian Empire.
|The Kira Investigation Team (Minus L. And some other guy)|
|A part of the Britannian Empire that is in Area 11, they are the one's who pursue Lelouch most of the series. (Including Suzaku)|
|Typical Death Note fight scene (Note, they are in totally different places.)|
|Typical Code Geass fight scene|
|Left - Lelouch with his Geass. Right - Light with his Death Note|
|Left - L. (Death Note) the series Antagonist. Right - Suzaku (Code Geass) the series Deuteragonist|
|Left - C.C (Code Geass) the series Tritagonist. Right - Ryuk (Death Note) A Major character in the series in a similar role to C.C|
So, here's my comparison for the series:
Plot: Code Geass
Music: Code Geass
Characters: Code Geass
Hype: Death Note
In the end, no matter how i compare the two of them Code Geass is a much better series. The only thing Death Note has that is better then Code Geass is killing off characters you'll have come to love. They are both decent series, but while Death Note may seem more popular, Code Geass is, in the end a better series.
Of course, this is all my opinion, but i am looking at things from a neutral standpoint for this comparison.