Honinbo Shuei (本因坊秀栄 Hon'inbō Shūei, 1852-1907, also known as Tsuchiya Heijiro & Hayashi Shuei) was the 17th and 19th head of the Honinbo house, as well as the 13th and final head of the Hayashi house. He became Meijin in 1906.
Born Tsuchiya Heijiro as the second son of Honinbo Shuwa, when the Hayashi heir died Shuei was adopted by Hayashi Hakuei Monnyu to carry on the house. His name became Hayashi Shuei -- Shu- from Shuwa and -ei from Hakuei, and a few years later he succeeded the Hayashi house as the 13th and final head. Several years later a period of instability in the Honinbo house caused his youngest brother Honinbo Shugen to ask Shuei to take over as head of the Honinbo house. He accepted and merged the Hayashi house into the Honinbo; but soon ceded the position in favor of longtime friend and former Shuwa pupil Murase Shuho. However, Shuho's untimely death just two months later lead Shuei back into the position as head of the Honinbo House. In 1906 he attained the title of Meijin, becoming the ninth person to have done so. 
Shuei was noted as a late bloomer, not reaching his peak until 1896. However, when he did he exceeded his contemporaries by a fairly wide margin. The other best players of this period (e.g. Tamura Yasuhisa, Yasui Sanei) appear to have needed at least the handicap of the black stones to play him. During this time he held a monthly study group at his residence, thus many of his surviving game records show a very large number of handicap games as White. He also engaged in a number of jubango, and one photo shows Shuei in a fine beard.
His mature style is marked by a preference for simple moves over complex fighting, preferring to win by out-playing the opponent on a global scale. For this later reason his mature games have often been admired for their flow, superb positional judgement, and lack of 'unnatural' moves. This played into a deeper use of a miai strategy, sometimes revealing itself on a grand-scale, earning him the nickname "Master of Miai." He became an expert of amashi and shinogi, speedy openings, and innovation regarding the importance of the 4-4 point and center value. He is also noted for his interesting predilection of the centre- facing L-shape (see diagram). 
He had superb positional judgement. There's nothing unnatural in the flow of his moves... I always have the feeling that I'd be no match for him... I'm far below his level, but I like his go. The brilliance of his play from the fuseki to the middle game is outstanding.
These appear to be Fujisawa's true feelings and not just modesty since after two more questions he also says that no Japanese player is currently a match for him and that his go is on a higher level than that of his potential challengers for the Kisei title.
When editing a collection of Shuei's games in 1976, Takagawa Kaku wrote :
When I was young I often enjoyed playing over the games of Shuei. That was because I liked the image of him winning without doing anything at all unreasonable. But today I wonder: did I really understand Shuei to that extent? In doing the commentaries for this book, I perused his collected games again after a long interval, and again was made to sigh in admiration at his strength. In particular his games as White after he reached 7-dan hide a fathomless strength amidst a serene and well-balanced flow, which we can perhaps describe as flexible on the outside, unbendable on the inside. In brief, the characteristic of Shuei’s skill at go is not just about local things such as his skill at evaluating positions or his skill in seeing moves, but his mastery of go itself.
Modern professionals have called Shuei "Meijin of Meijins" & "No-power Meijin," and continue to study his games more than other player from the classical period. 
- Hayashi Shuei 4-5d vs. Kobayashi Tetsujiro 4-5d - 1869-1871
- Ito Showa 7d vs. Hayashi Shuei 4d - 1870
- Hayashi Shuei 5d vs. Kobayashi Tetsujiro 5d - 1876-1877
- Hayashi Shuei 5d vs. Fujita Hosaku 5d - 1876-1877
- Hayashi Shuei 5d vs. Kuroda Shunsetsu 5d - 1877
- Murase Shuho 8d vs. Honinbo Shuei 5-7d - 1884-1886
- Honinbo Shuei 7d vs. Ishii Senji 5d - 1896
- Honinbo Shuei 7d vs. Yasui Sanei 6d - 1897
- Honinbo Shuei 8d vs. Yasui Sanei 6d - 1898
- Honinbo Shuei 8d vs. Karigane Junichi 3d - 1900
- Hayashi Tokuzo
- Honinbo Shugen
- Inoue Kohei
- Inoue Yasunobu
- Karigane Junichi
- Nozawa Chikucho
- Seki Genkichi
- Takabe Dohei
- Tamura Yasuhisa
- Tanaka Masaki
- Tsuzuki Yoneko
- 1863: 1-dan
- 1865: 2-dan
- 1866: 3-dan
- 1868: 4-dan
- 1871: 5-dan
- 1886: 6-dan
- 1886: 7-dan
- 1898: 8-dan
- 1906: Meijin
- 1852: Tsuchiya Heijiro - Birth name
- 1865: Hayashi Shuei - Name taken after the death of his adoptive father, Hayashi Hakuei Monnyu.
- 1884, December: Honinbo Shuei - Upon becoming the 17th head of the Honinbo house.
- 1886, July: Tsuchiya Shuei - Upon stepping down and making Murase Shuho the 18th head of the Honinbo house.
- 1887: Honinbo Shuei - Upon becoming the 19th head of the Honinbo house. Was noted as still signing his name "Tsuchiya Shuei, Honinbo XVII" for most of his remaining life.
- 1894: Joseki Igo Shinpo (定石囲碁新法).
- Honinbo Shuei - Complete Game Collection
- The Life of Honinbo Shuei - John Fairbairn
- The Games of Honinbo Shuei - John Fairbairn
Spirit For some time now I've been very interested in Shuei's style. Much to my dismay I found that it's very hard to find any of his games records. I've managed to compile about 250 games so far, many from his early career. But he should have played at least 3 or 4 times as many. If anyone knows of a good source - electronic or in paper please let me know. My sgf collection can be found here: Shuei.rar. It contains many duplicates though so I advice to use Kombilo or some other database program.
Bob McGuigan: That book is out of print, unfortunately. I have a copy and it's a wonderful book. A more recent book, published by the Nihon Ki-in as part of a seven volume series of books on great masters of the past, is this one: 流水秀栄―古典名局選集 but it seems not to be available from amazon.co.jp.
Spirit I have a copy too (no. 17) and it's indeed a great book. I've searched on amazon.co.jp. But even with google translate it's not too clear what they are though unfortunately.