The story is focused on two cops, Ross and Armitage as they try to discover the reason behind all the chaos. At times I was under the impression that it is maybe too much influenced by Hollywood movies such as Blade Runner or AI but in the end, the story is well constructed and presented through the 4 OVA's. This is well explained with the use of the great animations. This came out in 1995 and it looks amazing for its time. The high amount of details is very impressive and you can see another anime that influenced The Matrix with the now famous green data line flowing down the visor. The faces of the characters are a little sharp and maybe needed a little polishing but that's a minor detail. The sound was awesome. Industrial and some metal riffs fit any cyberpunk anime like a glove. As far as characters go, only Armitage is worth mentioning. Ross is ok to see as the tough (yet soft on the inside) cop but Armitage is the real star of the show. She's sexy, badass and an attitude that would even make Alucard shit his pants. You don't mess around with her.
In conclusion, Armitage III is awesome. Any SF/cyberpunk anime lover should see this. Great visuals, great OST and a memorable main character bring this anime a big well deserved 10.