You should join the anamorphic group on facebook. They are making real progress on affordable anamorphic.
Veydra announced that they canceled that project. The anamorphic community on facebook also has a disdain for SLR magic's lenses. But those are good thoughts.
I have been using my BMCC 2.5k (MFT) for the last year now and I really like it. I had a GH4 for a while but really wanted 10bit and 12bit (I shoot RAW a lot). I use a speedbooster and have a Hot mirror in my mattebox all the time. I also use a V- Mount battery as well so my battery lasts all day. I really like the camera. In regards to the previously mentioned "color temperature" that's subjective and depends on the color grading. He may have been referring to its bias to be slightly green which is easily corrected if you know what you are looking for. Anyway, its a great tool that produces a significantly more rich image than available in current "Photo Camera" (GH4, A7s, etc..) options due to their restrictive codec. Although the GH4 with V-Log was a great tool that I used for a long time. I wouldn't say that its significantly better though. You can definitely make great music videos on the BMCC. There are some cameras that are just bad. The BMCC is not one of them. Neither is the GH4 or A7s. So I don't think you can go wrong with any of them. But color depth and low compression is the real strength of this camera.
I logged in just to upvote that. (But seriously, thanks NFS, this is cool. I've got some old broken SLR's that might make good decorative pieces.)
I think everything everyone has said so far are great options, and each one of them has made great points. But you need sound gear (and really, you do need lighting gear). I would recommend this setup.
Used Panasonic GH2 or G6 - $250
MFT to M42 - $15
Vintage 28mm and 50mm - $85
Generic Tripod - $20
Used Tascam DR 40 or Zoom H4n - $125
Azden SGM 1X - $150
XLR Cable/ Batteries - $25
Cheap Boom Pole - $35
(I am assuming you have some headphones)
3 cheap battery powered LED lights - $150
3 cheap light stands - $60
backup batteries - $40
A couple hard cases from MCM electronics
(I have a few of these and a few pelican cases. They compare very well. The only issue is that the foam is very low quality and depending on the case size you will have to cut it instead of plucking it.)
This gives you everything you need to start shooting everything from films to corporate videos and the hard cases will make you look even more professional on set (and protect your gear). Lighting and sound make a bigger difference with today's cameras than better cameras or lenses. Obviously this isn't a perfect kit, but I think this is a great place to start.
I am not saying you should get the BMPCC. But I owned the BMPCC and never had a dropped frame. If you buy one of the recommended SD cards it won't happen (unless something else is seriously wrong). But like I said, I never had a dropped frame, ever.