I consider myself a pretty big Ace Attorney: Phoenix Wright fan. I've completed almost all of the games, and some a few times over. They are fantastic and immersive games I would highly recommend.
The same cannot be said about this anime series. The plot of many cases is difficult to follow to the point where you would not understand major parts unless you have already played the games. Even then, a large portion of the characters and evidence is completely left out. This makes the logic seen in the show difficult to follow, as the audience cannot (easily) draw the same conclusions to the cases. Figuring out the truth of these cases is the main aspect of the Phoenix Wright franchise, and there is no fun in watching the show. I felt absolutely no connection with any of the characters and stopped watching halfway through the series, feeling absolutely let down.
Do yourself a favour, skip this show and play the games if you are interested in Ace Attorney.