You can get an optical to coxial converter box if your receiver has a coaxial digital input. If it doesn't, you will have to purchase an optical digital to analog (D to A) converter.
If your home theater receiver has an optical audio input, plug it from the output of the TV to the input of the receiver.
Connect a audio cable from the Audio Out connectors on the cable box to the AUX In Audio connectors on the stereo receiver.
An optical audio cable is used to transmit digital audio (AC-3) signal from the source to the receiver, such as from a DVD player to a digital audio amplifier/receiver. You can transmit 5.1 dolby digital or DTS surround sound with an optical audio cable, same as digital coaxial audio cable.
There are essentially two ways to get surround sound out of the Xbox. Via HDMI or via optical (TOSLINK) out. If you have the component video cable, then the end that attaches to the Xbox has an optical out port. Simply attach this to the optical in on your home theatre receiver with an optical cable. If you want to use audio via HDMI, in order to get surround sound you'll have to have an HDMI receiver capable of receiving audio. In this case run the Xbox via HDMI to the receiver and then the receiver via HDMI to the TV. The HDMI will send both audio and video. If you have the official Xbox HDMI cable you can also connect the HDMI cable directly to the TV and use the optical out connector that it comes with instead.
If your television has an "audio out" or "monitor out" with an audio connection you will be able to connect the television to the desired input on the av receiver. Use standard composite audio (Red and White/Black RCA) OR if the audio output on the television is digital you will need a digital coax or optical cable.
If your TV has a digital audio output, connect it to the optical or coaxial digital input of the surround receiver. This will pass through the digital audio signal sent from a HDMI input at the TV.
Your TV will not have a optical cable input. The easiest way is to connect an HDMI cable from the Blu-Ray player to the TV. This cable will have both the video and audio together. If you do not have an HDMI input on your TV, use the component video output from the Blu-Ray player and the analog left and right audio to connect to the TV, or connect the optical digital output from the Blu-Ray player to a surround sound receiver for sound amplification.
A coaxial digital output (usually an RCA jack) can connect to a digital optical input using a coaxial to optical digital converter. This is a small box that goes in between the two products.
If you want an audio output from the TV to connect to a home theater receiver or other amplifier, you will have to use the optical digital audio output or Audio Return Channel through the HDMI connectors. Those are the only outputs on this TV.
If you are using a Blu-Ray player and your blu-ray and surround receiver both have coaxial digital audio connectors, you can use those to connect the two, bypassing the TV for the audio.
A Sony PlayStation 2 and a dish receiver are two video and audio sources, and cannot be directly connected to each other. You can plug both into a television that has multiple video and audio inputs, or connect them to a home theater receiver, and then connect that to your TV.
You could use an external cable or satellite receiver and connect speakers to that.