Authors Note: Please Please Please Pleeeeeeeeaaaaaasssssseeeeeeeeeeee!!!! Do not read anything I write here if you haven't read Tokyo Ghoul Manga and Tokyo Ghoul: Re Manga. I do not want to spoil anything for you okay. It's to great of a story to do that. A good site to finish reading to were it is that I like to read Manga from is Kissmanga. Also love to go to Kissanime to watch all of my favorite anime. If you are all caught up I hope you like the different theories and thoughts that I have for Tokyo Ghoul :) Let me know what you guys think.
So my question for you guys is if you were a ghoul which kind of kagune would you like to have going by the info below? Let me know which you pick in the comments below. (If I could pick I'd like to have a Rinkaku because they have great regeneration or a Ukaku because of the speed they have also the Ukaku looks so amazing)
) is a ghoul's predatory organ and functions as their weapon and claws. It is usually as red as blood (the colours are varied in the anime to distinguish the Kagune of each individual), flexible like the flow of water, but firm and sturdy. When released, a ghoul's physique is strengthened, they are more resilient, and their mobility heightens. A Kagune is composed of Rc cells, which flow just like blood, can become as solid as teeth and can be described as "liquid muscles". The Rc cells are released from a kakuhou piercing the skin, and the released Rc cells form the Kagune. The Kagune are voluntary muscles as ghouls can control them whenever they want and repeatedly harden and soften them at will. Kagune size depend on the Rc cells quality and quantity while the shape depends on the creativity and intellect of the user.
Although a ghoul's healing ability is high, the healing of wounds tends to be delayed if the wounds are inflicted by a Kagune. It is also evident that in order to counter a kagune in battle, one must also have a Kagune, if not, at least something in relation to a kagune. Hence, Ghoul Investigators use kagune-based quinque as a tactical means to battle against ghouls.
<img src="http://vignette1.wikia.nocookie.net/tokyoghoul/images/b/bf/Rc_types.png/revision/latest/scale-to-width-down/125?cb=20140714102109" alt="Rc types" class="thumbimage " data-image-key="Rc_types.png" data-image-name="Rc types.png" width="125" height="216" >
Rc types, positions on the bodies.
The kagune's appearance and the place of emergence on the body depend on the Rc type of the ghoul.
There are four different Rc types: Ukaku, Koukaku, Rinkaku, and Bikaku. As a guideline, each type can characteristically subdue another type, although it may be different for two specific opponents.
Each Rc type has a set of strengths and weaknesses, each one unique to its type. These are exploited by the CCG in the creation of the quinque and Q bullets.
An Ukaku Kagune (Japanese 羽赫, romanization ukaku, English feather-red) is spread out like feathers and is released from the shoulder area, it specializes in high speed attacks, most of the users seeming to have highly enhanced speed. The Kagune is lightweight and can be used to deliver high-speed attacks against an adversary, the primary method of attack is crystallizing their Kagune to deliver a high speed torrent of spike-like projectiles, however whilst crystallized they are much stiffer and can't be used for short range combat; at least one Ukaku-type can generate powerful lightning-like bolts, a possible rare ability. While the Kagune is suited both for short-distance and long-distance attacks, short-range is considered their weakness. They are able to use their Kagune as a shield and some users are shown to be able to shape them into sharp blades, reminiscent of a Koukaku, to aid in close quarters, many have shown to be able to increase the flexibility of their Kagune for short-range combat, though this makes it ill-suited for their distinctive long-range attacks.
<img src="http://vignette1.wikia.nocookie.net/tokyoghoul/images/5/59/Ukaku%27s_Disadvantage.png/revision/latest/scale-to-width-down/180?cb=20160514171231" alt="Ukaku&amp;#039;s Disadvantage" class="thumbimage " data-image-key="Ukaku%27s_Disadvantage.png" data-image-name="Ukaku&#39;s Disadvantage.png" width="180" height="72" >
Altogether Ukaku-type ghouls have a high chance of ending a battle quickly, releasing Rc cells depletes stamina. Thus, Ukaku-type users lack endurance and are at a disadvantage if the battle drags on for a long time. Ukaku-type users can use their speed and mobility to shoot down Bikaku-type users from afar. However, a Koukaku-type user can suppress an Ukaku-type user by successfully guarding against the Ukaku-type user's attacks, leaving them vulnerable to counterattacks and exhausting the Ukaku-type user in the long run.
Known Ukaku Ghouls are: Shinsanpei Aura, Kazuichi Banjou, Fei, Shousei Idera, Kaya Irimi, Sumiharu Katou, Ayato Kirishima, Hikari Kirishima, Touka Kirishima, Kurei, Noyama, Ruchi, Shikorae, Ginshi Shirazu, Seidou Takizawa, Koharu Utsumi, Renji Yomo, Yoshimura, and Eto Yoshimura.
A Koukaku kagune (Japanese 甲赫, romanization kōkaku, English shell-red) is released below the shoulder blade. Due to its high density of Rc cells it is heavy and extremely robust, giving it the greatest sturdiness and making them very well suited for defense. Normally, they are generally shaped into armors or shields, but on the offense, they can be shaped like melee weapons such as drills, hammers, blades, and swords.
<img src="http://vignette3.wikia.nocookie.net/tokyoghoul/images/5/5f/Koukaku%27s_Disadvantage.png/revision/latest/scale-to-width-down/180?cb=20160514171344" alt="Koukaku&amp;#039;s Disadvantage" class="thumbimage " data-image-key="Koukaku%27s_Disadvantage.png" data-image-name="Koukaku&#39;s Disadvantage.png" width="180" height="72" >
Due to its high weight, a koukaku's speed is inferior to all other kagunes and the kagune is hard to wield.
A koukaku can fend off an ukaku onslaught using its guarding capabilities. However, a rinkaku kagune can deliver severe strikes against the slow koukaku, breaking their kagune and breaching their defenses.
Known Koukaku Ghouls are: Hinami Fueguchi, Ryouko Fueguchi, Ching-Li Hsiao, Arata Kirishima, Mairo, Matsumae, Ikuma Momochi, Naki, Nutcracker, Nutcracker's partner, Donato Porpora, Rou, Tanaka, Mirumo Tsukiyama, Shuu Tsukiyama, and Kuki Urie.
A Rinkaku kagune (Japanese 鱗赫, romanization rinkaku, English scale-red) has an appearance similar to scaled tentacles and is released at the back around the waist. A rinkaku wielder has powerful regenerative abilities and some could even survive the most critical of damage. Its peculiar appearance and structure yield a superior striking power and they excel in brute strength. Some rinkaku users are able to manipulate the shape of their kagune, such as changing its usual tentacle form into swords or claws.
<img src="http://vignette2.wikia.nocookie.net/tokyoghoul/images/2/27/Rinkaku%27s_Disadvantage.png/revision/latest/scale-to-width-down/180?cb=20160514171324" alt="Rinkaku&amp;#039;s Disadvantage" class="thumbimage " data-image-key="Rinkaku%27s_Disadvantage.png" data-image-name="Rinkaku&#39;s Disadvantage.png" width="180" height="72" >
This type's regenerative power is a result of the Rc cells easily binding together. Their Rc cells are similar to liquid. However, this means that the binding force among the Rc cells are weak, therefore making the kagune very soft and easy to break. But because their Rc cells bind so easily, some rinkaku can bind their multiple tentacle-like kagune together to make a larger, stronger kagune. So far the number of tentacles that rinkaku users can create are from one to eight tentacles.
A rinkaku kagune can deliver severe strikes against the slow koukaku, penetrating the kagune and breaching the koukaku's defenses. However, a rinkaku has serious problems fighting against the balanced bikaku kagune: A bikaku has comprehensively high power, allowing them to fight against the brute-force rinkaku, and the rinkaku kagune softness makes it comparatively easy for the bikaku to cut the kagune off. This disarms a rinkaku no matter how much strength it may possess, leaving the rinkaku at a disadvantage on the defensive. It has been shown that in some cases, a Bikaku attack can disable a Rinkaku regeneration. 
Known Rinkaku Ghouls are: Yuuri Akanuma, Asa, Asaki Fueguchi, Hinami Fueguchi, Nimura Furuta, Hooguro, Rize Kamishiro, Ken Kaneki, Kinko, Kie Muramatsu, Yakumo Oomori, Rio's brother, Kanae von Rosewald, Karao Saeki, Kurona Yasuhisa, Nashiro Yasuhisa, and Saiko Yonebayashi.
A Bikaku kagune (Japanese 尾赫, romanization bikaku, English tail-red) typically has a tail-like appearance and is released around the tail-bone/coccyx. It is good for medium-distance attacks and has decent offense, defense and speed. Thus, they have no notable strengths or weaknesses like the kagune based on other Rc types, meaning the kagune itself is treated as a surprise "trump card." So far, the number of tails that a bikaku user can create are one to four tails, as shown by Noro.
<img src="http://vignette2.wikia.nocookie.net/tokyoghoul/images/8/86/Bikaku%27s_Disadvantage.png/revision/latest/scale-to-width-down/149?cb=20160514171256" alt="Bikaku&amp;#039;s Disadvantage" class="thumbimage " data-image-key="Bikaku%27s_Disadvantage.png" data-image-name="Bikaku&#39;s Disadvantage.png" width="149" height="136" >
A bikaku has better speed and durability against the brute-force, breakable rinkaku, allowing them to cut off the rinkaku's kagune. However, a bikaku will be overwhelmed by the faster ukaku user and will lose against the ukaku's long-range attacks.
The balanced characteristics makes the kagune a preferred quinque type for investigators.
Known Bikaku Ghouls are: Big Madam, the Bin Brothers, Cain, Touma Higemaru, Matasaka Kamishiro, Akashi Kobayashi, Enji Koma, Uruka Minami, Miza Kusakari, Tooru Mutsuki, Nishiki Nishio, Noro, Nutcracker, Shikorae, and Yumitsu Tomoe.