bunraku begin in 1651

The National Bunraku theater is in Osaka, Japan.

Bunraku was established by Takemoto Gidayu (1651-1724) in 1684

This depends on what you mean by 'bunraku'. The traditional bunraku puppet made only by the Japanese is somewhat of an insider's secret. There are no books, patterns or tutorials online that you can use to make them; they simply do not exist as far as I know. At any rate, a traditional one is way too complicated for new puppet makers or school-aged people.

However, many people confuse the term 'bunraku' with the more Westernised table-top puppet (which uses similar concepts as bunraku and is almost the 'child' of bunraku in a way), and there are plenty of table-top tutorials and patterns out there. (Bunraku is the official name for 'ningyo joruri', the Japanese puppetry - only those who have permission may use the term 'bunraku' in Japan)

Some info is here on both bunraku and table-top puppets. The second link is a tutorial for a table-top puppet, which is very easy to do (print, cut, fold, and glue; you're done!):

http://puppetsinmelbourne.com.au/index.php/faq/2007/10/30/what_is_bunraku_puppetry

http://puppetsinmelbourne.com.au/index.php/faq/2009/03/18/how-to-make-a-table-top-puppet

Bunraku puppets originated in Japan during the Edo period (17th century). They were developed as a form of traditional puppetry theater and are characterized by large, intricate puppets operated by multiple puppeteers. Bunraku combines puppetry, music, and chanting to tell stories drawn from historical events, mythology, and everyday life.