Steve can't seem to get his Amazon Fire Stick to work on his TV, but it works fine in his other TV. Leo says that the older TV may not have the latest HDMI standard and so the Fire Stick can't "handshake" with the TV. There could be a firmware update to his TV, so he should look into that. He could also try unplugging his TV, let it set for a minute, then plug in his Fire Stick and turn it back on. That way it could handshake from scratch. The other issue may be copy protection. If his TV is old enough that it isn't HDCP compliant, it could be that the Fire Stick won't support it. A splitter may act as a workaround for it. He should look on Amazon.
The Chatroom also says to try and press the power button on the FireStick several times to see if it will handshake.