First things first: I'd like to apologize to gurneel for what I did in the last forums. For newbies or those that didn't read it, I posted up a DPF section and all it had was "Has anyone here heard of Dirty Pair Flash" (or something like that) and nothing else. I put no thought into it WHATSOEVER. This time I will put a lot of thought into it and hope to have a nice discussion with fans of the series.
DPF is an OAV that was released by AVD Films and is, in my opinion, the best anime I've ever seen. It's basically a futuristic anime about two police officers called Trouble Consultants (Tro-Con for short) whose names are Kei and Yuri. Their codename: The Lovely Angels (AKA the Dirty Pair). Kei is a tomboy with a passion for guns and Yuri is focused on finding a nice date.
The series itself is 16 episodes long and is divided into arcs called "Missions". The first mission is the most serious in the series and is never called the Dirty Pair. The second is my favorite and is about them stuck on a theme-park called World's World, which is a recreation of 1990's Japan. The third is referred to as the Colors Missions since all of the episodes has the name of a color (Gray Avenger, for example)
If you want to find out more, you can visit Elenore City, one of the most comprehensive DP sites I've seen. It also has information on the other Dirty Pair series (there are 4 in all).