Here is almost the last version mirror of cygwin which supports Windows XP.
Cygwin version: 25 Aug 2016 ('30 Aug' dump is coming)
Setup version: 2.874

Setup files:
(x64 is coming)

Mirror to use:
Run installer with '-X' flag to skip signature verification, because signature file is missing

Thanks to

Contact me: cygwin.portfolis at gmail com