Swan Lake was the first ballet composed by Pyotr Ilyich Tchaikovsky and, like all three of his ballets, has become legendary. You can view a complete performance on YouTube from the Bolshoi Ballet, one of the world’s premier ballet companies.
Sleeping Beauty was the second ballet composed by Tchaikovsky. You might recognize some of the music since it was borrowed by the folks at Disney for their 1959 animated film and used in a song from their 2014 re-imagining of the fairy tale, Maleficent. This complete video version is from the Kirov (Mariinsky) Ballet, another top ballet company from Russia.
Check out this post about Tchaikovsky’s most famous ballet, The Nutcracker, which also includes a video of a complete performance.