Apologies for not replying for so long. My various attempts at trying this all ended up becoming walls of text and I took a break trying to think it over.
Anywho, Ace Attorney... It always does my heart good to see new people giving it a shot. You'd think that a game starring a lawyer would be boring, but the game just does everything right. To put it simply, it's my all-time favorite video game franchise. It's filled to the brim with murder cases, but it's a very light-hearted, funny franchise with very interesting cases. Every character is unique and quirky, and nearly every case is ridiculously... ridiculous. In a good and surprisingly believeable way.
Every game follows a basic formula. You play as a lawyer. With a bubbly female assistant younger than said lawyer that has a tragic backstory and is always loveable. The lawyer is constantly thrust into crazy case after crazy case, being truth-wanting heroes up against corrupt opponents who seek nothing more than victory. And I'm not just talking about the criminals. The prosecutors you face, at least at first, are very corrupt individuals who seek nothing more than defeating the lawyer and getting their client a Guilty verdict, albeit for different reasons. The exception being Klavier Gavin from Apollo Justice, but they still made that work.
I should also note that while the series is very light-hearted, it can get really sad when it wants to. The backstories of many of the characters can be really painful to watch, main and side alike. Heck, even the abuse sometimes changes from comedic to painful. But it's always in a good way.
And the logic required is very fun to use. While the game can be won solely on a playthrough merely consisting of trial and error, if you choose to actually use logic and thought to figure the cases out, nothing is more satisfying than pointing out the witness's contradictions and rubbing it in their face. Sure, the contradictions can be a little unforgiving at times, but it's always worth it even then, with the exclamation of "OBJECTION!" and the epic fingerpoint of epicness.
Trust me when I say this series doesn't nearly do the series Justice, but I didn't want to Wright out a Miles-long wall of text. So here you go, and I hope I specified how appealling it is well enough to convince you to give it a try. (Read this paragraph again when you know the names of every protagonist and it'll be funnier).
Oh, and just a note, the whole series is on DS, and the first three games are available on Wiiware and the Apple store. Hope that helps out. And do get the two upcoming games (Dual Destinies and Professor Layton vs.) when their out and when you've played the others when you get the chance. It's a great franchise, and worth putting time into when you get the chance.
If you have any other questions about it, don't hesitate to ask.