Shuri Te:
Shorin Ryu: The modern precedent to most Okinawan, Japanese and Korean karate. Includes TKD, Tang Soo Do, Shotokan, Shito Ryu, Kyokushinkai and Wado Ryu. It is the form of karate from the city of Shuri, which was the prefecture's capital and home of the King's palace. The Tode (old term for karate) of Shuri village is known as a natural style, with higher stances, good footwork, where mobility and speed are stressed. Approximately 80-90% of the techniques are hands and the rest feet. Grappling both standing and on the ground is also learned.
Taught to Sokon Matsumura by "Tode" Sakugawa, this style of Okinawan MAs was used to defend three kings of Okinawa. The head palace guard and court instructor was Sokon Machimura (Matsumura). Matsumura studied in FooChow province, China and learned the methods of Chuan Fa known as Shaolin Chuan Shu and White Crane Chuan Fa from a Shifu called Iwah. Later, back on the Ryukyu Islands, he became a master instructor (Shihan) of the Jigen Ryu school of Kenjutsu, which was the fighting art of the Satsuma Samurai Clan who were the Japanese occupiers of Okinawa. He is still listed as such on the school's registry to this very day. He integrated his indigenous ti/te with these systems of fighting, and created a complete fighting and philosophical art that would be coined "Shorin Ryu" by a student of one of his senior students (Anko Itosu), Choshin Chibana. Shorin is the Japanese pronunciation of Shaolin, where Sokon learned for several years.
The modern variants of Shorin Ryu are Kobayashi (which has 2 main ryuha or subsystems- Shorinkan and Shidokan), Matsubayashi (which has 3 main organizations- T. Nagamine's being the best known), Shobayashi (which has many variants including Shorinji Ryu, Seibukan and Sukunaihayashi) and Matsumura Seito (which has 2 main branches- Orthodox Karatejutsu/KarateDo and Orthodox Kenpo). Among these, there are similarities and many differences.
Kobayashi and Shobayashi are said to be similar, but Chotoku Kyan influenced Shobayashi and Chibana influenced Kobayashi. The former has many more Tomari Te techs (an antiquated fishing village style) and Kobayashi has a slight Shotokan feel to it as Itosu was both Funakoshi's and Chibana's sensei, and Kosaku MatsumOra was one of Kyan's sensei (along with Sokon Matsumura). Both Kobayashi and Shobayashi use lower stances than Matsubayashi and Matsumura Orthodox.
Matsubayashi uses short stances, straight vs. crescent/sweeping steps and is a fast and mobile style. It too was influenced by Kyan and Tomari Te as well as Goju Ryu and Motobu Choki's interpretation of Shuri Te. As a system it may look similar to the other Shorin Ryuha, but it is its own style nonetheless. It is a solid karate style as are most Okinawan Ryu. Named and formulated by Shoshin Nagamine, it is a good amalgamation of karate theories.
Matsumura Seito Karatejutsu (which we will concentrate on because the Kenpo variant is closely related to Okinawan Kempo/Kenpo), is closest to the original intent and form of ti known as Sui Di or Shuri te. This sytem is the forerunner of all the Shorin Ryuha. A family system passed from the "founder" of Shuri Te, Matsumura Sokon, to his Nephew, Nabe Matsumura and then to his grandson, Hohan Soken, it has tried to keep the original techniques and kata intact. Whereas in ryuha such as Shorinkan you will learn every kick possible (high and low) in this sytem kicks are unbalancing maneuvers, set-ups for throws, and for leg destruction as seen in Silat, Bando, Muay Boran or Muay Thai. Leg kicks and grappling are its treasures which most style of karate regardless of country of origin have forgotten. Still it's a system that relies heavily on "boxing' skills as hand techs, closed and open, and these are its bread-and-butter. "Change-body" and other effecient maneuvering techniques are emphasized ("get out of the way!"), and many evil throws, chokes and limb locks are used in conjunction with striking and kicking. Unlike modern Judo these throws are done so that ukemi or breakfall is almost impossible to perform. It is the way karate was before karate was mass marketed, changed and sold as a sport. It's karate as it was suppose to be preserved. It's highest level kata, which is actually a very basic and easy kata to perform, is called "Hakutsuru" or "White Crane". This is a kata named in honor Matsumura's Fukien Shaolin days.
Naha Te:
Goju Ryu: The principles of Goju Ryu are also to be found in most Japanese karate styles. Kyokushinkai, Shito Ryu, and Shotokan all use some Goju Ryu kata. Isshin Ryu uses their Sanchin and a couple of other kata from Goju, though all these styles have a strong leaning towards Shuri Te kata (Shorin).
Goju is system based on Tiger and Crane Chuan fa, that Kanryo Higashionna learned in FooChow province (China) in the early 1800's. He brought his system of Tode to the masses of Okinawa after combining Okinawan Ti with Chuan Fa. It is said that his main instructors were Wai Shinxiang and Ru Ru Ko, both well known Chinese MAs shifu (teachers). Replete with many in-close fighting methods and chin-na (chinese grappling), it is a deeper stanced and more rooted system that relies more on strength and conditioning than its Shuri te counterpart, Shorin Ryu. The main exponent of this style on Okinawa was Higashionna's main disciple, Miyagi Chojun. A man of great strength and fighting ability, he is said to be the first Okinawan karate-ka to push for sparring to be included in Goju Ryu's practice and one of the first along with Itosu of Shuri Te, to push for a less "barbaric" and standardized format that could be used as compulsory PE practice in the Japanese and Okinawan school systems.
The forms are done slowly, with purpose and the inherent qigong (ki training) of the kata is quite evident. Sanchin kata, is done with a forced exhalation of air and tensing of the bodies muscles, especially the areas around the tanden and thoat. This is said to create a shield of muscle over vital areas and is used to increase strength thorugh isometric contraction. Some Okinawan Shinshii (sensei) claim that it is detrimental to the very young and very old and that is the reason many NahaTe practitoners live much shorter lives on the average than say their Shuri Te-ka and other fellow Okinawans. Some modern physicians agree, but what do MDs know about the body, right

? This is hotly debated even today. Regardless, it is a very strong style of karate, with a very external chinese feel to it.
The ryuha are many and there are also many non-Okinawan systems with Goju in their name like Japanese Goju Ryu (Nissei Goju), Chinese Goju and American Goju Ryu. The Okinawan ryuha include the Meibukan, Jundokan and my personal favorite Higaonna Goju Ryu founded by Morio Higaonna, who learned from the main student of Chojun Miyagi, Ankichi Miyagi. Morio Higaonna is the man that Don Draeger said was the most feared, real karate fighter of their era (50s-70s), and his knowledge of bunkai and old style tode is remarkable. I haven't been impressed by the other ryuha, Meibukan in particular, which uses humiliation and hard sparring to keep the juniors in check. At least this is how it was done on Okinawa in the 80s and 90s.
Uechi Ryu: This style is the most "Chinese" of the three. It relies heavily on Tiger/Crane/Dragon Chuan Fa, and resembles FooChow (Fujian) White Crane the closest (along with Matsumura Seito). Their Sanchin is faster and lighter and the breathing is not a long retracted ibuki like Goju, but more of a "hisss", like air escaping a tire rapidly. Their strikes in Sanchin are open hand, and body conditioning from head to toe is emphasized. A good Uechi ryu yudansha (BB) can break 2 inch boards with his toe kick and kakushiken (modified spear hand strike) and 2 baseball bats with his shins, easily. This isn't BS spacer breaking, but old school breaking. I like this style a lot as it does not concentrate on just kumite like so many modern styes do, or performing kata without any regard for what the movement means (bunkai). 2 person drills abound and good old fashioned hard work through hojo undo and kotekitai (Body hardening) are a staple. Very soft yet very hardcore and deadly!
In addition the largest organization emphasizes change and adaptation, if it makes sense, and has even incorporated BJJ into many of its school's curricula. Many of the grappling concepts seen in the ti derived versions of Shorin and Goju are absent as O'Shinshii Uechi learned an art in Southern China called Kinga Noon (Pangai No'on in Hogan) and brought it back as intact as possible. It is truly refelctive of Southern Chiese Chuan Fa, whereas Goju and Shorin are "MMAs" so to speak, and make use of Judo-like and JJJ-like techs taken from Tegumi (Okinawan Wrestling). As a result BJJ is a good complimentary art to this in-close style of fighting.
Others:
The other significant school of thought in Okinawan karate is the art of Isshin Ryu. Tatsuo Shimabukuro took what he knew of Shuri Te and Naha Te (Shorin and Goju) and integrated them. He used mostly Shuri Kata and made one up called Sunsu, or the "Dragon Boy" form, his own personalized kata. He left out many inportant kata from Shorin and Goju, but all-in-all it is a good Okinawan system and Marine recruits use it for their basic h2h training and can even get a BB in this USMC version of Okinawan karate/Isshin ryu. It is even more upright than the Shuri te styles, and many of its forms were simplified. It also uses lots of low kicks, like Matsumura Seito (Orthodox), and hard Sanchin like Goju Ryu. Like Shorin it relies heavily on "boxing" techs.
I hope all this helps. I'm surprised no one else posted this quick history of original karate. maybe they thought you should research this stuff yourself on the net and elsewhere. Well, I did it for you and them. You can thank me later.
BTW, this is my first post!!!! Glad to be here.