Star Wars: The Old Republic is great with dialogues. All players choose an answer and it randomly selects who actually gets to say what they want. And the Sith Warrior and Sith Magician (can’t remember the actual class names) synergise great in terms of story and quest locations. The corresponding Jedi classes might as well.
Used to play it with my wife, until some small human took up all our time. We got lucky with the classes. We had a lot of fun. Other classes all seem to have separate starting locations. But with all the subclasses available to Warrior and Magician you should be able to get a good spread.
Only one character does the talking and you have to actively listen in to hear any of it.
I just remembered Star Wars: The Old Republic. There everyone could participate and it would select randomly who would say the next line. That was nice.