Heavens Above will give you a list of all satellites passing overhead. If you go to "Daily predictions of brighter satellites" it will give a big list of satellites that should be visible from your location. The lower the magnitude, the brighter it will be.
In a city you obviously aren't going to see much because of light pollution (although the ISS is one of the brightest objects, so it should be visible in most cities). If you go to the middle of nowhere, and give your eyes time to adjust to the darkness (around 30 mins), you will see satellites basically all the time and may even see the milky way (it looks like the pictures, but black and white as our eyes can't pick up enough light to detect the colour).
Upon sitting on a roof some weeks ago in Texas, I thought I spotted at least 5 or 6+ within 30 minutes. Is this probable?