In addition to just reading about world musical styles, it's important to listen to them. There are a few different avenues to take when looking for recordings: either CDs and other physical sound recording formats or streaming audio databases.
For help finding world music sound recordings in the catalog, click on the tab titled "Searching the Catalog."
The best streaming audio database for world music available to patrons at UIUC libraries is Smithsonian Global Sound.
Some suitable recordings might also be found in DRAM, particularly if the focus is on traditional American musics like folk, Native American or jazz.
Ethnographic Video Online has good examples of music and dance from around the world.
In addition to these streaming resources, there are also websites that have video available.