What standard is embedded within the .ts files?
For MPEG1/2 stuff
http://neuron2.net/dgmpgdec/dgmpgdec.html
For AVC/H264 there is
http://www.videohelp.com/tools/DGAVCDec though I have not put it through its paces for AVC sporting transport streams.
The author also has a further set of tools aimed at using graphics cards to speed decoding, though you do get to pay for those.
Edit. Also in the free world is a MVC (3d video) but I have not so much as even downloaded the binary there.
You then get to feed it on to other programs, avisynth and megui are what took things for me there but not so many people seem to be down with avisynth these days. I am actually not sure what goes for other programs but the decoders I would quite happily use terms like "reference grade" to describe.