The quality of the TV has a lot to do with how well games look.
But, most "should" work fine.
If all the TV has is Coax, then you need an RF convertor. Svideo to RF may be hard to find.
You can also use a VCR as the RF converter. If VCR only has composite input, get an svideo to composite adapter.
Note that if all your TV has is Coax, then it is of poor quality, and results will be very poor.
Even composite video is only fairly good. Svideo gives best results.
If you use a video card with built-in TV out, most are limited to 640x480 or 800x600 @ 60hz. Yuck!
But if you do like I do, and use an external scan converter, you don't need TV out on video card,
and can enjoy playing on bigscreen at 1024x768 @ 100hz or higher.
I have a couple friends over every Sat night for some GranPrix III racing on my 53".
For multi-person gaming, a big TV is the only way to go.