Simple Six Samurai deck, with some support to be competitive in today's environment. Your main combo setup is Kageki with Kizaru, but with a few tech cards as support.
Since you have a plethora of searches for Kageki, you need only run 2, while Kizaru is a little harder to find. You can very easily make 2 Saryuja's in a turn so long as Nibiru does not show itself. You do have a few answers to Nibiru with your spells, so it isn't too big of a hurdle so long as you got through most of your cards getting to Isolde and Battle Shogun.
At times your opponent will get bored and ask if you are almost done because unfortunately, you do take your time to do a lot of setups so your opponent cannot respond in the following turn.
The best setup is to have the Kageki and Kizaru in hand or searched before you begin with a card that gains counters for gateway later, doesn't matter which card. Go into Isolde and add another Kageki, just in case, then send the following equips for Hatsume (or Kizaru if you didn't get him or one of the red/blue if you have the other in hand), Noble Arms, as it does nothing for you other than destroy a spell/trap for 500 atk points on a monster, Overdone Burial, as the cost is too high for what we usually want, it just helps out of sticky situations, and your choice between DDR or Living Fossil. DDR has proven to be more useful as you can get back one of the cards used for Hatsume's effect, and you have a lot of draw/search power in the deck once you get to Gateway with Battle Shogun's effect. Once you have Gateway, if it isn't destroyed from some effect, you are pretty good to go, your opponent can't stop you at that point and will usually forfeit. They ask if this is a hand loop, this is not that variant, but they will immediately go to the next game if they think it is and they don't have an answer. So you can fib, as it makes their hand useless, but you don't need them to know that.
Your ending board should have 2-3 of the following: Utopic ZEXAL which locks your opp out during their turn. Shi En as the staple negates 1 spell/trap. And Apollousa for your next turn, as ZEXAL protects you during your opponent's turn.
For siding, it is truly difficult to know what to side in/out of the deck as everything fills a specific purpose. The immediate answer is either the red reboot if you think your opponent doesn't have Infinite Impermanence or is an Altergeist deck as most decks can only stop you with hand traps. Prohibition is a tech choice of mine that allows me to say, I don't like this 1 card, so I'm going to let it not be part of the duel. This can be good if the only thing that can stop you is Nibiru, or ash blossom, or even an Imperm. The immediate ability to stop your opponent from even having the opportunity to perform an action is great, but it wont stop cards already on the field, so use it wisely.
Alternate options for the deck are mostly replacing whats in the Extra or Side deck. For Extra deck, you can replace the Beast/Barkion cards for Abyss Dweller to stop combos that happen due to in grave effects or even a Naturia Landoise to negate monster effects if you have enough cards in hand to handle its cost. For side deck, you can always add in Ash Blossoms or Infinite Imperms in place of the royal decree or token collector. The side deck, in my opinion, is where you can throw in your special brand of techs. Back in 2014, I would run Fencing Fire Ferret in my side deck for a Madolche deck as there were a lot of destruction effects that were prevalent. It helped me to get my first top and would single-handedly win some games because people didn't think of that card. You can even change the number of certain Six Sams in deck if you feel that you need to get to other parts of the deck faster. Red/Blue is not mandatory for the deck, but it helps to either 1, get more counters, 2 get to Rebarian Shark for your ZEXAL. Squire is there as another option for a Lvl 1 target for Shien's Dojo that can be revived with Gateway. So experiment with this as the base, and see if there are areas for it to improve for you.