Convert .ts File Into a Mainstream Format Losslessly

Matroska (MKV)

This will stream copy (re-mux) all streams:

ffmpeg -i input.ts -map 0 -c copy output.mkv

The -map 0 option is used to include all streams. Otherwise it will use the default stream selection behavior which would only result in one stream per stream type being selected. Since Matroska can handle most arbitrary streams I included -map 0.

MP4

This will stream copy (re-mux) all streams:

ffmpeg -i input.ts -map 0 -c copy output.mp4

If your inputs formats are not compatible with MP4 you will get an error. Your player/device may not support all arbitrary, less common, or legacy formats even if they are supported by MP4. If in doubt re-encode to H.264 + AAC as shown below.

This will re-encode the video to H.264 and stream copy the audio:

ffmpeg -i input.ts -c:v libx264 -c:a copy output.mp4

The next example will re-encode both video and audio:

ffmpeg -i input.ts -c:v libx264 -c:a aac output.mp4

Lossless H.264 example:

ffmpeg -i input.ts -c:v libx264 -crf 0 -c:a copy output.mp4

Lossless files will be huge.