Final answer:
Mozart composed in all the widely recognized genres of the Classical era including symphonies, concertos, sonatas, and operas, which were also embraced by the Romantic composers.
Step-by-step explanation:
The question, "Did Mozart write in all genres available during the Classical Era?" can be answered with True. Mozart was an incredibly prolific composer who indeed wrote in various genres of his time, including symphonies, concertos, sonatas, and operas. These forms were highly popular with classical composers and were continued by Romantic-era composers who admired the classical foundations laid by the likes of Haydn, Mozart, and particularly Beethoven.
Mozart's extensive repertoire covered the majority if not all the widely recognized genres of the Classical era. His music displays a mastery of the form, structure, and style that define the era's music. Although he did not live into the Romantic era, by the time of his death, he had made significant contributions across the full spectrum of available genres in the classical canon.