I don't need one
In so far as I am concerned, the only function of a crossover is to protect the tweeter in designs where a tweeter is necessary (as already noted).
I can think of one multi-way design that has no crossover whatsoever though. It comes from PHY-HP in France. The tweeter is a piezo unit with a small paper cone and requires no protection capacitor.
There are now quite a few driver manufacturers making full-range drive units that are also sensitive and so capable of satisfying in full the two most important criteria for any loudspeaker design, those being absolute coherence and realistic dynamics.
None of them have a flat frequency response but this is not important as it only matters to people who are obsessed with measuring everything. It is not required for realistic music reproduction (the music is already coloured in any case by the venue in which it is performed). The brains of normal people are not in the least bit bothered by a little frequency colouration and would never notice it unless it is pointed out to them.
Perhaps surprisingly, a flat frequency response is not required for movie reproduction either. The two most important criteria for that 'being there' feeling are as stated above - coherence and dynamics.
Of course there are limits to how far the frequency response can drift from the ideal. Nobody likes the Lowther quack of old (current Lowther drivers are very good) or a honking horn. Equally offensive are dome tweeters that are not correctly damped and make female vocals and electric guitars sound like nails down a blackboard.
Given the above, my choice of loudspeaker will come as no surprise. The Zu Druid uses a wide-band driver and a supertweeter with only a single capacitor and a high quality resistor to set the tweeter level. It is coherent. It is sensitive. It is dynamic. It starts and stops when it should both at high levels and at low levels. It sounds more real than any other speaker I have heard anywhere near its price and a long way above.
I used to think that I would never be able to afford the quality of sound that I have now. I take my hat off to Zu Audio. They didn't start out to create a speaker with high WAF or small size or a flat frequency response. They set out to create a speaker that would play music and make it sound real and do it at a real world price. They succeeded.
*dons flame suit*