There are a number of current sensors that could be used for this. Many have fixed current sensing limits, but some are adjustable.
Try searching for "current switch"
On eBay, check out the following search terms:
Veris h800 (fixed current 0.75A trip, 200A max)
Senva c-1200 (fixed current 0.25A trip, 50A max)
[Edit: corrected JC model number and current range]:
Johnson Controls CSD-CA1G0-1 (or search for "Johnson Controls current switch" )
This Johnson Controls sensor is adjustable, and this model can sense a range of 1.25A to 135A. But it's rather large compared to the other two. There are many other JC models that have different ranges and not all are adjustable, so be careful and make sure the one you purchase can sense the current of the TV .
One other thing to note. Some current switches, like the Veris and Senva models I mentioned, have solid cores and you may have to cut the wire to pass it through the core. Others, like the JC CSD-CF0A0-1, have split cores that open to allow you to insert the wire without cutting it. Also, only one conductor of the TV's power cord should go through the core. If you run both conductors through it, it won't work.