Reddit mentions of Premium 3 RCA Audio Video Composite Cable 6 Feet Black, VF-34-RCA-RCA-CBLE-06-4

You need the dazzle and a couple splitters (if you want to play on the tv). With that you can use obs (open broadcast software) to stream.

edit: I doesn't have to be a dazzle. Cosmo uses this one for n64:

http://www.amazon.com/DATA-connection-video-capture-GV-USB2/dp/B00428BF1Y/ref=sr_1_1?s=electronics&ie=UTF8&qid=1415515983&sr=1-1&keywords=i-o+data+gv-usb2

the splitters can be found at:

http://www.amazon.com/gp/product/B00H4L6UO8/ref=oh_aui_detailpage_o01_s00?ie=UTF8&psc=1

with the splitters you will need a male to male av cables:

http://www.amazon.com/Premium-Audio-Video-Composite-Cable/dp/B001VJ465O/ref=pd_sim_e_1?ie=UTF8&refRID=1KV4BF0YP4E0PYEC1A0T

To get the capture card to work on obs, you create your scene and source a video capture device. You need to make sure all the drivers are installed for the capture card.

Other than the capture card linked, elgato makes good ones, dazzle, and there are probably others. DO NOT BUY CHEAP CAPTURE CARDS. They are shit, trust me.

I think that's a selector to switch between different inputs which won't do the job (it'd only go out one). Splitters like these or these will do the job! Make sure you have two RCA cables to connect from the splitter to the projector and CRT!

I'm pretty sure the cable that Me4Prez linked is a composite cable for a PS2 (the end is proprietary, not HDMI). I'm not 100% sure about HDMI to Composite but I know for a fact that HDMI/DisplayPort to VGA require and active adapter to work. From the description of this "HDMI to Composite" cable it would appear I am correct

> NOTE: This cable functions as a signal transmitter, but NOT a signal converter. Not Compatible with PC / DVD / PS3 / XBOX. Most PCs do not support that feature. If you aren't sure whether your video card / cable box supports this, please do not hesitate to contact us before purchasing.

>NOTE: Since HDMI is digital signal and RCA is analog signal, in order for the cable to function well, Please confirm that the HDMI source output devices support digital to analog signal conversion function. If you aren't sure whether your devices have analog signal conversion function, please kindly check with your user manual or contact us confirm it before purchasing, we will reply you as soon as possible.

If you were to purchase the active adapter you would also need a straight through cable for RCA -> RCA like this AND a regular HDMI cable.

All the cable splitter that you linked to does is split the source of the cable wire so you could plug it into two devices such as hooking up a cable box and a cable modem at the same time. however that will NOT allow you to hook up two devices to one port on your tv. If I were you I would do the following.

1. You have the cable box properly connected to the cable source coming from outside. So now you need to connect the cable box to the tv. The easiest way if you don't have an HDMI cable or the cable box doesn't work with HDMI would be to take one of the RYW cables like this and that should take the audio and video feed from the cable box and display it on the AV input on your tv.
   
   
2. Now to hook up your antenna just simply screw it in as normal and this will show up under the regular cable or antenna input on the tv. so now instead of screwing and unscrewing wires you just change the input selection on the tv.
   
   I have a Vizio and it would display something like this:
   
   AV input = Cable box;
   TV input = Antenna

To setup an elgato with composite you are going to need this and 3 splitters. You plug in the 3 splitters (male side) into the elgato, and then you plug in the wii composite cable + RCA cable into each splitter.

I am probably not explaining it correctly, but while there is no lag on the tv when recording, the video capture on your computer has major lag (around 6 seconds). I believe your commentators have to commentate while watching the video capture on the computer, so make sure they are okay with being 6 seconds behind the actually match on the tv.
Let me know if you have anymore questions

A lot of people will tell you to get a Dazzle DVC 100. It does the job for standard definition. They can be had for $30.

Whichever you get, you'll need 3 RCA splitters and 2 male-to-male RCA cables if you want to output to both a TV and to your PC.

That's fine for standard definition (anything Wii or lower), but if you want to capture HD and have it look good, you're looking at spending at least $100.

Recording is very easy with some time and a craptop. Amarec doesn't eat much cpu/ram, but it will give you fairly large file sizes so be prepared. It's pretty easy to use 50GB of spce for a single tournament.

What you will do for basic recording/streaming is getting a entry level capture card like a Dazzle DVC 100. If you can't find a Dazzle because they are discontinued I'd recommend the Hauppauge USB Live 2 as that is what I use. You will also need 3 RCA splitters for stereo and a cable like this. You plug the splitters into the A/V inputs on the TV then run the Wii into the correct splitters and run the RCA cable into the other end of the splitters. You will then run that cable into the capture device. Things change slightly if you choose to use Svideo, Component, or HDMI to record.

Beanwolf's guide is really good for starters. If you want to stream you will need a fair amount of computer power, but something like AMD 860K 3.7Ghz with 8GB of ram and a 2GB newish graphics card should be fine.

I just picked up these: MT-VIKI 8 Ports 8-In 1-Out AV RCA Splitter Selector Switch Adapter MT-831AV https://www.amazon.com/dp/B00DRGDBTG/ref=cm_sw_r_cp_api_jNy4xbXK6ZT6T

C&E Premium 3 RCA Audio Video Composite Cable 6 Feet Black, VF-34-RCA-RCA-CBLE-06-4 https://www.amazon.com/dp/B001VJ465O/ref=cm_sw_r_cp_api_kOy4xbHZ2QAYZ

NES AV Cable "Simulated Stereo" Audio Video TV Cord for Original Nintendo System replaces RF Switch https://www.amazon.com/dp/B006457FUI/ref=cm_sw_r_cp_api_xPy4xbP6JF30T

Sega Genesis 1 Standard AV Cable (Bulk Packaging) https://www.amazon.com/dp/B002FY0CM0/ref=cm_sw_r_cp_api_DPy4xbXCD658S

The Dreamcast, GameCube, etc. already came with the AV cords. These will have to do for now, at least they beat RF units even if only by a little. I can't afford mods to make these consoles HDMI compatible. Like you said the Gamecube HDMI cord goes for like $300 on eBay. For a 7yr old I think he'll be fine with these for now until proper funds come in to upgrade so many consoles. I doubt many kids his age would notice the difference unless it was on some huge TV.

Edit: The Element TV I got my son, listed in the OP was an open box and I had to return it base was broke. However all the consoles worked on it. I bought a Westinghouse 40"1080p TV to replace it, it was pretty cheap: http://www.bestbuy.com/site/westinghouse-40-class-40-diag--led-1080p-hdtv-black/5452800.p?skuId=5452800

I just hope all the consoles will work with this TV as well. I noticed some consoles will work on some TVs but not others? Example, his Dreamcast will work on my LG Plasma in my living room but not my LG LED in my bedroom.