What you're looking for is the Nikon Coolpix. There are tons of models, and most have the touchscreen and similar features as the one in the commercials with Ashton Kutcher. Here are a few...
1) Nikon - CoolPix 10.0-Megapixel Digital Camera S230
With this model you can actually write on the screen, and it is a touch screen. I've heard lots of mixed reviews, but Best Buy is having a great sale on the bundle pack right now. You get the bag, memory card, and camera for $179.99. Can't beat it.
2) Nikon - Coolpix 10.0-Megapixel Digital Camera S60
Slimmer and sleeker model. Touchscreen again, but $269.99 @ Best Buy and that is just for the camera and one battery. This one actually has the smile shutter, which recognizes your face and takes a picture when you smile. Very cool feature.
3) Nikon - Coolpix 12.0-Megapixel Digital Camera S630
Best quality as far as megapixels of the 3 I've shown you here. It is $279.99 at Best Buy, but doesn't have nearly as many features as the S60 above. This one doesn't have a touch screen either, but that can actually be a good thing. Touch screens are cool, but they don't last as long as the cameras without them. The oil from your fingers is eventually going to start to mess with the sensors in the cameras.
Good luck! These are all available at Best Buy (because that's where I work :D) Have fun with your new camera!