What kind of music I don't care to listen to might be a better question.
In the morning I usually listen to classical (Romantic era to the present, especially the Eastern European composers).
After that it might be jazz, rock, blues, Latin American (Salsa, Merengue, Brazillian), soca, standards, reggae, disco, oldies, Tuvan, Cape Verde, Klezmer, Afro-Pop, Fado, etc, etc, etc.
What don't I listen to? Rap and other forms of music that do not have all 3 elements, melody, harmony and rhythm. Without all 3 I tend to get bored quickly.