Here I list a few pieces of software I use and like, in no particular order. They can all be obtained free of charge. (There are also commercial versions of SSH and TeX.) The small images on the left link to sites with more information. Operating systems the software runs on are listed in the right column.
Software from the GNU Project is pervasive on Linux systems and essential to their operation. I omit GNU programs (except for the GIMP and GCC) from the list below; consider this an overall recommendation.
Note 1: For brevity, mention of Unix as a operating system implies tacit mention of Linux, BSD derivatives, etc., even though they are not registered UNIX® systems. This includes Mac OS X. Also for brevity, mention of Mac or MacOS below refers to the older, non-Unix Mac operating systems.
Note 2: X is the X Window System, Version 11, which runs under several operating systems, including Windows and MacOS. The combination of an operating system and X will be indicated as in "VMS/X".
Note 3: Cygwin provides a Unix environment under Windows. A Windows system with Cygwin will be indicated by "Windows/Cygwin".