Most HDTVs lack the ability to play back one or several of those formats unfortunately.
Your best scenario is to either convert to a format that is know to work 99% of the time, or find a cheap media streamer you can keep connected to the HDTV and use USB flash drives to throw up files you need. Even better would be to simply connect to a low end PC/laptop where all files may be played back with free software/codecs.
Let us know if you would like any additional help. I have had luck w/ both Roku & WDTV Live media players, FWIW.
I am setting up a workout room and need to purchase a 32" LCD/LED to play back workout videos on. I have a bunch of workout DVD's that I have backed up and I need to be able to play them on the TV.
I need it to support at least a 32Gb flash drive and if it could manage a portable hard drive, well even better.
I need it to be able to play back various formats...MKV, AVI, MP4 etc...
Who manufactures such a TV?
I purchased a Vizio but the thing is just too glitchy and the player UI is hopelessly clunky and outdated and supports limited functionality