This is one of the classics of anime and it was the series that really
established cyberpunk as a viable genrea in anime. Throw in the fact that
the Crisis series was part of the movement to modernize anime styles and
techniques and you can see why this series will always be considered a
landmark piece of animation and a fan favorite.
Briefly, the plot line revolves the four knight sabers (Linna, Priss, Silia,
Nene) fight with a global industrial superpower (Genom) which is out to
take over or destroy the world (depending on who you are speaking to in
upper management) with its seemingly harmless robots (boomers). The first
OVA series (Crisis) went for 8 episodes before its untimely ended (mostly
they did not finish the plot lines). A second OVA series (Crash) was done
later to resolve many of loose ends left over from the Crisis series.
The one thing of interest is that a new TV series based on the OVA has
come out in Japan in the last year. While it is based loosely on the old
BGC series, it takes the place of the OVA series and the time line, plots
line, and the character designs (one exception being Priss who did not
escape entirely unchanged) are entirely different. I am always looking
for cels from the original series.