Here's my speed Exodia deck. This deck dosent use the most abused combo (Gearfried, RML, and Elma). Instead its just a good ol' fashoned speed drawing deck, with a little LP gain as well.

Monsters(17)

Exodia set (5)
Dark Mimic LV1 x3
Dark Mimic LV3
Emmisary of the Afterlife x3
Magician of Faith x2
Nimble Momonga x3

Spells (10)

Pot of Greed
Swords of Revealing Light
Upstart Goblin
Messenger of Peace
Shallow Grave x2
Monster Reincarnation x2
Scapegoat
Painful Choice

Traps (13)

Gravity Bind x3
Jar of Greed x3
Solemn Wishes x3
Call of the Haunted
Waboku
Backup Soldier x2

What I'd do is this:

Cut out the Dark Mimic LV3 and Nimble Momongas in favor of a third Magician of Faith and two or three Spear Cretins--they are a decent stall, and (barring Noblemen), will work out very well getting Emissaries, Magicians, or Dark Mimic LV1s back. Alternatively, throw in a Sinister Serpent instead of one of the cards mentioned, as it will easily work with Monster Reincarnation. If you can, lower your Monster Card Count to 15 or 16, for added speed purposes.

Then, add in Card of Safe Returns, to combo with the Spear Cretins and Shallow Graves. Also, run a Premature Burial, as it works very will in lieu with Emissary. Perhaps--I don't know about this--you should keep from running Messenger, as you have enough other stalling cards.

Finally, for the Traps, I say you should remove the Solemn Wishes--Life Point gaining is a distraction from the Exodia theme, if you ask me. I also suggest running one less Gravity Bind, as three is a little bit on the overkill, considering all of the other cards you could run instead, and all the stalls you already have. Maybe run GB and one Level Limit Area-B, so you don't get screwed over by the inevitable Jinzo or Royal Decree.

Just some thoughts.

If you want to r/f my deck, the link is in my signature.