Hi. I write from spain. I have the blu-ray LG

Keep in mind that while HDMI will pass audio with video over one single cable, the Component connectors (RGB) although being 3 cables only passes the video signal, you will also need to connect up a separate connection from your DVD player to you receiver for audio, be it analog (red/white RCA connectors) or optical
Be sure to specify in the DVD's on screen menu which audio output you choose as audio may not pass out all available connections unless enabled. You may also need to select which video output you are using.
As far as not getting video, just be sure you connections are correct (red to red) etc as this would explain the no video...
I hope this helps,
Magoo

LG documentation states:

When you use SIMPLINK function, you have to

connect to the OPTICAL IN 1 jack to enjoy TV
sound to your speaker system.

Basically you need to have the Audio go from TV to receiver and setup receiver to that Input to output surround sound to all speakers.

If you have a cable box or satellite receiver, hook that output into the receivers input and that should work.

My setup is DirectTv HDMI output goes into the LG Home Theater HDMI Input 1, and LG goes HDMI output into the TV HDMI input 1.
so to watch DirectTV, I switch LG Home theater to HDMI Input 1. and TV is on HDMI input 1 (to view LG HDMI output from DriectTV, Blu-Ray, Vudu, etc.)

The TOSLINK optical connector is almost aquare and should be the same on both blue-ray and on the receiver. There are 4 orientation you can try and only one fits. Blue-ray can have the connector installed rotated, but it should be the same connector.
http://gallery.techarena.in/data/513/thumbs/Toslink-and-Coaxial-Connectors.jpg
Looking at the cable at Amazon I can see that it is the correct cable. If it really doesn't fit, maybe you have damaged cable or damaged connector. Try the other end of the cable and/or other optical input on the receiver.
BTW there is also combined analog/optical jack connector. It looks like normal jack socket, but accepts also optical signal. But this is not called Toslink and usually is not used in home theatre devices.

Receiver does support 3x component inputs and one component output. Both these can carry only video signal, not audio. So you have to connect audio separately, either stereo via analog 2x RCA connectors and digital SPDIC via optical (2x) or coaxial (1x) cable.

You can connect PS3 video via HDMI to receiver and from receiver via HDMI to TV. But RX-V365 doesn't support HDMI audio, so you have to connect audio separately via SPDIF digital cable. I think PS3 uses optical SPDIF, so you will need optical cable. If you can't find cheaps optical cables in your shop, you can try byuing from ebay ($1-5 max.)

Hi, firstly some terminology:
yellow cable - video composite (worst quality)
white/red - stereo analog audio
blue/green/red - video component (second best quality after HDMI)

You are correct that RX-V365 doesn't do audio over HDMI. Moreover it also doesn't do any video processing, which means composite video input will go only to composite video output (and not to component); compoment input only to component output and HDMI input only to HDMI output.

If you have more devices of same video output (in your example the component blue/green/red), you can connect them to TV via the receiver. But if only one device of same video output, you can connect it directly to TV. There is no reason to go through your receiver for video.

For audio, you can use either the analog stereo white/red cables (rx365 has 5 such inputs) or better use digital SPDIF connection, which is slightly better quality and more importantly supports 5.1 sound. There are 2 types - coaxial (orange RCA plug, can use basic rca cable) and optical (square black connector). Receiver has 1x coax spdif input and 2x optical spdif inputs. Look at your other equipment to decide which cable to use.

For the analog audio inputs, I think you can assign it either to composite video or component video. So for DVD audio white/red plugs, you can choose if either Video composite yellow plug named DVD will be used, or component blue/green/red named DVD will be used.

You have to configure your DTV input to use optical audio instead of analog dtv audio (red/white plugs). Input assignment should be described in the manual. Come back to me if you have still problems with it.

the RX-V365 cannot process the audio from the HDMI input. You will also need to connect a seperate audio input (either coaxial or optical) into the relevant input in the rear of the RX-V365

There are several video and audio inputs named DVD. For video you have HDMI, component and composite. For audio you have standard analog stereo and digital coaxial spdif input.
You need to configure the receiver to use the correct inputs - that means HDMI and coax. Also you need to connect the BD player via coax spdif cable to the receiver, because rx-v365 doesn't support audio via HDMI. If BD player has only optical output, use DTV/CABL HDMI input and DTv/CABL Optical input on the receiver.

RX-V365 doesn't support HDMI audio. You need to connect the cable box also via spdif cable for audio to work. Look at the box if it uses optical spdif or coax spdif. If optical, you see that optical input on receiver is named DTV/CATV, so use also DTV HDMI for video. Coax spdif is named DVD, so in this case you will need to use DVD HDMI input.
Also you need to configure the inputs accordingly.