The two opera composers mentioned in the crossword solutions are Giacomo Puccini and Gioachino Rossini. Puccini was an Italian composer who wrote some of the most popular operas of all time, including La Bohème, Tosca, and Madama Butterfly. He is known for his melodic and lyrical compositions, which often featured arias that were both beautiful and emotionally powerful. Rossini was an Italian composer who wrote over 40 operas, including The Barber of Seville and William Tell. He was known for his use of musical humor and his ability to create complex and intricate musical structures.