As of 2015, the Sony Handycam does not export to Flash, so there is no free downloadable Flash player for it. Sony camcorders export video in MPEG-4 format, which does not require a Flash player.
Macromedia Flash no longer exists. Adobe acquired the software in 2005 and branded it Adobe Flash. Adobe Flash is available as a free download from Adobe's website, and this download is compatible with older camera equipment that requires Macromedia Flash.
All of the software necessary to use a Sony Handycam comes with the product. The only software that Sony offers as a download is the optional Wireless Audio Import software.