If you want a definitive opinion from me as to crossovers, I will tell you that first order are my favorite. Like most things in life, simple things, using the best ingredients often produce the best result.
Further, series, as opposed to parralel networks, are also more to my liking. You didn't want us to get technical, and so I will try not to...
First order networks are the easiest to drive, and sound the most natural to me. They are phase, and presuming the speaker allows, time coherent. Of course, the tradeoff is that the slow rolloff means that a superior driver (the finest ingredients) become more critical, as does the crossover components themselves. Otherwise, you get hit in the face with components operating out of their areas of comfort, and some drivers sound worse than others when this happens.
I don't want to get into dogma here, as just as many people exist who can tout the benefits or second, third, and fourth order networks.
I also feel series networks(99.999+% speakers use parallel networks) sound better to me, as I don't get a sense that I am listening to individual drivers. They also present a resistive, as opposed to reactive load to the amplifier - ooh sorry, don't get technical (but let me sneak in that the rolloff can be tailored via Zeta - balanced by the ratio of the cap to the coil, making even sharp rolloffs with a first order network easy). Let's just say they are a more friendly load to an amp!