Man, about time I got this thing working. Guess that's what I get for buying a used/'build it yourself' computer.
So, the name's Phoenix Wright, from a fandom of the same name. Er, well, most of the time. It's also called Ace Attorney or Gyakuten Saiban, and that's not even starting on the acronyms or spin-offs.
You should probably just stick with "that lawyer game" to avoid confusion.
Or, "the OBJECTION game", though "that one game where the guy cross-examined a parrot" wouldn't be bad either.
If all of that sounds sort of crazy, well, let me present Evidence:
A Normal Day In Court. [ooc: Video not by me; it is a culmination of the illustrious
Phoenix Wrong community at large.]