The Metropolitan Opera is one of the most storied opera houses in the world. It is in its second location. Which opened in 1967 at Lincoln center. The first location dates from 1883. La Scala in Milan Italy is another famous and maybe more prestigious opera house.
There are many stories and anecdotes about the Metropolitan Opera. It is relatively new compared to La Scalla and the Paris Opera Etc. The Paris Opera is the setting of the Phantom of the Opera. I have never seen the current musical. Personally I like the 1943 version with Claude Rains much better. It opens with music form Leoncalello's Pagliacci and Flotow's Martha.
The Metropolitan Opera has the Opera Guild and several other Support organizations. The Web page for the Metropolitan is metopera.org. This sight has a lot of useful information on opera. They also publish a magazine which my subscription has long run out.
Since 1931 they have had live broadcasts on Saturday afternoons. For a long time they were sponsored by Texaco. I usually work on Saturdays but sometimes I have had the chance to listen to the them. Texaco(now Texaco-Chevron) sponsored them form 1939 to 2005 The two most famous announcers were Milton Cross (1931-1975) and Peter Allen (1975-2004). They are still broadcast today on many stations and through XM. Check on the link for more information.
They are now located at Lincoln center with the New York Philharmonic. The New York Philharmonic has not been at the famous Carnegie hall for many years.