display adapter that can out put bot video and monitor at the same time

Look for video card with TV-out. There are some things:
* you can't use DVI and TV-out at the same time (at least with nVidia cards)
* TV resolution is lower than monitor's - you will not be able to get the same quality in both displays.

Everything else depends on how much do you intend to spent for video card.

ATi all-in-wonder or similar but usually only shows on tv after changing the properties of the video controller in windoes

I use Raedion 7200 when see both monitor and tv The picture of monitor not full the monitor and therefresh rate on my monitor is very slow so i look for new card

I don't get it - what do you mean?

The picture of monitor not full the monitor? Does the picture fall of your monitor, or are spaces left away? Isn't is possible that you have chosen to span your desktop across the 2 screens, in stead of duplicating the image, or only throughputting a movie eg. ?

Can't you speed up the refresh rate on your monitor through the settings?

Maybe you just need a driver update...

What I'd recommend as new vid card (been using it for quite some time): NVidia GeForce FX 5200 - 256MB Ram. You should be able to find this for about $40 - $60. Quite good 3D performance, fast, good dual display.

Get one from MSI and you get a remote with it too - zap to another movie from your lazy seat.

Install lastest drivers from ati and activate Theater Mode from the Overlay tab of the video card settings. There you can choose full screen on both display or other options (I use Full screen only on the tv). Don't use "Extend my desktop onto this monitor" option. From the display tab of the video board select the tv as secondary adapter.

AOpen, GF FX5200: can use S-Video with VGA, but not DVI output.
Probably it also depends what GPU was used.

Dunno about that, I don't use a flatscreen. Didn't buy a 19" Flatron to put it unused in a corner ;)

Thank you for yours suggestions