Absolutely worth keeping it all (if you don't sell the parts).
Don't know your model, but usually you'll find a full Linux or Android board inside any smart TV, some might have an FPGA onboard, etc. Aside from the small embedded computer, there are also a power supply, buttons, LED drivers for backlight, connectors, card readers, cables, microphones, speaker, audio amp, etc. lots of parts or functional blocks that can be salvaged/re-purposed for other projects.
As a trivial example, if the backlight is still good, you can usae it as a light table, or get yourself a fancy difuze light lamp (from the backlight of the LCD). Good for macro photography shots, or to inspect PCBs by transparency, or to transparency scan photo negatives, or to just make yourself a transparency art-paint to hang on a wall.
Another example might be to turn it into a standalone audio player.