Full-range, single driver, horn speakers have no crossovers, but usually have sonic limitations at the frequency extremes (you can only ask a single driver to do so much...). Very large panel planars and electrostatics (such as the big Sound Labs) also have no crossovers, unless they are combined with a dynamic sub-woofer in a hybrid design.
Phase-and-time aligned speakers (such as Vandersteen) use first-order crossovers, which are less complex in design that higher-order crossovers. First-order crossovers do not, however, guarantee better sound reproduction that high-order crossovers -- it's the total design execution that's ultimately responsible for the audio quality.
Phase-and-time aligned speakers (such as Vandersteen) use first-order crossovers, which are less complex in design that higher-order crossovers. First-order crossovers do not, however, guarantee better sound reproduction that high-order crossovers -- it's the total design execution that's ultimately responsible for the audio quality.