STS Orbit Plus 0123
Allows you to follow the position of the space shuttle and of an extended artificial satellites database across the globe and to calculate their visible passes over your location. Explore the several types of map projection and satellite tracking - press F1 for help while on a map.
For more details visit the homepage and do not forget to get the most recent update of the orbital elements file here (file tlexxx.zip, in which xxx is day of the year - for accurate predictions the secret is to update regularly); as well as the Level 3 Earth Map (allows increased zoom).
Since version 0012, it is now also possible to self-update the TLE file with a single key press by installing the additional STSUpdat program . See a screenshot.

Orbitron 2.30
«Orbitron will localize for you position of satellites in given time. Features include: NORAD SGP4/SDP4 prediction models; 2000 satellites can be loaded from TLE file(s) (auto: PC/Unix, 2/3 line); ALL of them can be tracked at the same time; full screen mode; supported screen resolutions from 640x480; Real-time mode / Simulation mode (free time control); advanced passes & Iridium flares search engine; miscellaneous options of visualisation; orbit info; notes for each object; radar; easy interface; database of cities around the world; PC clock synchronization via NTP; Internet TLE updater (with ZIP support) / HTTP; Windows screen saver included; and more...»
See a screenshot.

GPS 2.X
Great graphics if you just want to see how satellites orbit the Earth and watch things from "up there", but it misses a few basic functions for ground pass predictions.
The program offers four different views: 3D-Orthogonal View (the Earth is displayed as a sphere and the satellites orbit it); 2D-Equidistance Mercator View (the complete Earth's surface is displayed and the satellites are shown as icons); WDB-Equidistance Mercator View (it is possible to zoom into it and display just parts of the world's surface with geopolitical details); and Observer's view (useful if you want to know where you have to look to see a satellite). Each of this views offers a bunch of moving around features.
Notice that you can use this program not only for the GPS-satellites but for all other satellites as well, since it uses the standard NORAD two line elements files.
We found it rather prone to crashing. Simultaneously supports German and English. Do not miss the screenshot.
Download options are very flexible. We have chosen the one which includes the more features (meaning also the larger in size). Additionaly, you may also need to get a few OpenGL drivers (we did not) - if so, see the help files to know details about the source.

TrakSat 4.09
Traces an extensive database of artificial satellites. Allows to know which satellites, when and with which path are visible from the observer's spot.
Also permits a graphical visualization, either by placing the satellites over the terrestrial globe, either by displaying their orbit against the stellar background (a total of 13 distinct ways of output production).
It possesses great educative and recreational value. See a screenshot.

WinOrbit 3.6
Another satellite tracking program. This time for Windows. See a screenshot.

SatSpy 4.XX [DISCONTINUED]
Surely, and by far, the best of the programs presented here. We will not even try to describe it, since its great. The only problem is that it only allows a 30 day evaluation. After that it stops functioning. See a screenshot.

Other freeware programs in this category (links to the homepages)

Orbit

Satellite Tracker (for LX200 telescopes)

Satscape

WXtrack

AstroSat32 (in German)

Dave Ransom Software Home Pages

Other shareware programs in this category (links to the homepages)

Nova

NOTE: Most satellite tracking programs use NORAD two line standardized orbital elements files; meaning that with a single file you can update different programs. To know where to get daily updates, see what is said in STS Orbit or visit NASA/GSFC Orbital Information site.