Hi, I have several colors of crayfish and the blues are by far the most aggressive. The orange Clarkii's are pretty mellow and the white ones (also Clarkii's) are spectacularly beautiful and are also great citizens. I learned the hard way and mixed the white and blue ones and the white ones died as soon as they shed (and were nice and tender). All of the preceding types are sexually dimorphic and breed the old-fashioned way-a boy, a girl, a nice dinner, some candlelight and soft music-okay, they don't need the last two things, but it can't hurt!
I also have the marble self-cloning type (where one can reproduce just fine) and they appear more aggressive than the Clarkii's and less aggressive than the evil blue ones. To complicate things, I just saw a blue self-cloner on aquabid but they are far too expensive right now for normal pet shop inventory.
I also feed the regular brown or red ones to my larger cichlids, my jaquar pair just conditioned on these for the last breeding and their resulting spawn numbered close to 1,000! The XL red ones from the fish market are pretty and big enough to hold their own but have not succeeded in catching any cichlids. Yet.
Consider any tankmates fair game until you have some experience with crayfish.