FAQ:
History - The BBC conceptualized the LS3/5A as a monitor speaker to suit BBC environments where monitoring on headphones was not satisfactory and yet there wasn't sufficient room for larger monitors. These included outside broadcast vans and small studio control rooms. The idea was to have a monitor that would be accurate enough to allow producers to determine the quality of the live broadcasts. Note that during these years, the BBC was at the forefront of broadcasting high-quality live classical performances.
There was no suitable available commercial unit at the time, and so the Research Department of the BBC was asked to design one. The LS3/5 was based on an experimental loudspeaker which was developed by the BBC after work on acoustic scaling tests. The BBC used one-eighth scale models, and one-eighth wavelengths (IE, 8-times frequencies), to assess acoustical data without doing full-size studios.
Extensive research was conducted on cabinet material, damping, drivers, the very complex crossovers, to name a few. A small number of these units where made in house by the BBC and the rest licensed to outside manufacturers (such as Harbeth, Rogers, Spendor) under very strict quality control on meeting the BBC specs.
Sound - The LS3/5A is known for its "two huge strengths, its wonderful midrange and holographic stereo imaging".
Specs -wise, it does not go deep but you will be surprised at what the LS3/5A can project in the low end for it's size. Anyone intereted in deep bass should partner it with the AB-1. A subwoofer system designed specifically for the LS3. One of the best known LS3-AB1 setups is called the KI Method.
Setup - The LS3/5A sounds best on stands with lots of space around. Most users space it at 5-7' from the front wall or 1/3 down the room. Most users also prefer it NOT toed-in but facing directly forward.
Some pinoydiophiles with LS3/5A's in alphabeltical order (sorry if I missed anyone):
BenC - Rogers Limited Edition, 11ohm, bi-wire
Fld - Stirling Broadcast Special Edition (screw back), 11 ohm, bi-wire
Hypertriode - too may have passed his hands

Ichabod - Spendor Limited Edition, 11ohm, bi-wire
Mozilla - Spendor 11ohm, bi-wire
RaffyO - Spendor 11ohm, bi-wire
Toobs - Rogers 11 ohm, monowire & Rogers 15 ohm, monowire
Prscnpilot - Rogers 15 ohm, monowire, Kef Piano Black
Here are some useful links:
The Unofficial LS3/5A Site
HFN&RR's LS3/5A Shootout by Ken Kessler
Pinoydiophile LS3/5A Shootout
LS3/5A Forum
History of the LS3/5A c/o the Harbeth Site
Stereophile Reviews of the LS3/5A
LS3/5A places 24th on Stereophiles Hot 100 Products - Nov 2002 issue