I do shuffle around pieces because I'm trying to pick the version I like the best. I don't think I'm removing that much overall, but this is a work in progress.
I also decided to fact-check myself after posting the links, so I deleted some things that multiple sources say are spurious (not by J. S. Bach at all). If all of those happened to be your favorites, it might be that there's another Baroque composer you like better than Bach that you should look for!
* 1-224 (cantatas): http://open.spotify.com/user/rspeer/playlist/0RkVeCJ3iMVc1My...
* 225-524 (various works, mostly vocal, sorta dull in the 300s): http://open.spotify.com/user/rspeer/playlist/2sCCwEMpTXPsOBa...
* 525-771 (organ works): http://open.spotify.com/user/rspeer/playlist/1aGTiGWlnSiGNcJ...
* 772-994 (mostly keyboard works): http://open.spotify.com/user/rspeer/playlist/4ka3cJd5UCg5EoJ...
* 995-1080 (solo suites and complicated stuff): http://open.spotify.com/user/rspeer/playlist/4v8NejHWIKDDSmc...
* 1081-1128 (discovered since the 1950s): http://open.spotify.com/user/rspeer/playlist/5dmTRLVqUi8dB0M...
Of course this isn't close to finished. I'm guessing it would take a year or so, given the rate that I listen to Bach while working.