Witch of the black forest got banned.
Having a monster that can't be attacked doesn't mean much when all your opponent needs to do is remove a dark monster from their grave after summoning a dark armed dragon to destroy it.
The metagame nowadays is incredibly fast. Stalling doesn't work nearly as well as it used to. Granted, it works better now than it did before dimension fusion got banned, return from the different dimension got limited, and allure of darkness semi-limited, but it's still very fast. Therefore, your best bet with an exodia deck is also one that is very fast.
This is possible to do with cards such as allure of darkness, trade-in, destiny draw, and hand destruction (not to be confused with card destruction), all of which enable you to draw two cards, and you can use cards like reload and magical mallet for pure replacement of cards already in your hand. You'll definitely want to run some of the level 8 destiny heroes (dogma, plasma, and I think there was another but six mons would be enough anyway), not necessarily to use the monsters, but for your draw cards, as they can be used as fodder for all four of the ones I listed. Other cards you'd want to include to complete the dhero draw engine include element hero stratos, reinforcement of the army, destiny hero disk commander (and an accompanying premature burial+monster reborn, although limit reverse is out now, so that would also probably be worth looking into), along with destiny hero malicious, and the basically obligatory crush card virus (which regardless of what type of deck you run, if you have several monsters that can benefit from it, is worth running), and maybe dasher. Cyber valley would serve the purpose of both drawing cards and should a piece of exodia somehow wind up in the grave, would enable you to pull it back. You could run it with machine duplication to quickly get out multiple copies and for more mass drawing. Sangan, of course, is obvious, as is mystic tomato. That should give you a very solid foundation to build upon. Wait... er... nvm... scratch that last comment. That's basically an entire deck ._.
Well, since I've already said this much, you could also try looking into running dark world dealings with broww, which would also enable you to draw two cards, although it requires you to specifically discard broww in order to do that, otherwise you actually end up with a -1 (hand destruction is also a -1, but at least you're drawing two new cards), due to having to play the DWD, then drawing a card to replace it, and then discarding another card. Still, the broww is useful when in combination with other cards like allure and hand destruction (although you don't get to draw an extra card if you send it to the grave with hand destruction >_>). I also remember one deck running 3x toon table of contents with one toon cannon soldier for additional deck thinning (since TTOC only requires the searched card to have "toon" in its name it can search out itself), and you would then be able to use the toon cannon soldier as fodder for hand destruction or allure. Not the same devastating FTK that toon cannon soldier was able to be when dimension fusion was still limited, but still good.
Anyway, ignoring the fact that I basically gave you a full decklist, this would likely be more effective as a magical explosion deck, considering the cards used for making it fast are basically identical (although you're actually able to use cards like reasoning and monster gate in magical explosion decks, enhancing the speed even further). I've actually seen a build before that starts out as a magical explosion deck, then uses the side deck to transform into an exodia deck for when they side in the decrees.
Use this as you will. Now, I'm going to go build myself a magical explosion deck, as I actually haven't used one before. =)
Oh yeah, and here's the current ban list for your reference:
http://entertainment.upperdeck.com/yugioh/en/gameplay/forbidden/advanced_current_new.aspx
edit: and kira, what's up with the avatar? lol