UAE is almost a full-featured Amiga emulator. Since none of the popular expansions fit any more, the abbreviation no longer stands for anything, and the software is simply known as UAE - this occasionally gets backronymed as Universal Amiga Emulator, Ultimate Amiga Emulator or Ubiquitous Amiga Emulator.
In its early stages, it was known as Unix Amiga Emulator and later with other names as well.
UAE was released in 1995 and was originally called the Unusable Amiga Emulator, due to its inability to boot.