A hard decision faced my many; is WMP or iTunes the better music player. As an iPod user i am forced to use iTunes but I do not necessarily think it is better. Here is the way it is.
iTunes is great software for music playing. Everything about it is good, except some may not like the way your library is viewed. It is one big list and you change how it is categorized by clicking the tabs at the top. Playlists are easy to make and are viewed by a bar on the right side. WMP uses a system of menus similar to right clicking the start button. The visualizer for iTunes is stunning. In preferences you can change it to go over 30fps. I saw it go as high as 93 fps without causing a problem. Also there are so many scenarios you will never see the same one twice. Also they are more fluent and visually pleasing than the ones in WMP. One thing I dislike about iTunes is that the installer comes with Quick Time. It automatically installs itself and puts itself in the quick launch bar. Then it installs a process called qttask, ituneshelper, ipodhelper. Although these do not at all slow your computer I am not happy when they are there. You kill them with process explorer and they re generate. I even did a regedit and they appeared to be running in the background. This shouldn't bother you or stop you from getting iTunes, although I do not like it because I am deep in thread/handle .dll hell.
Over all I find iTunes as my personal favorite but if you prefer a menu system(which I do) WMP is for you. For you broadband users, it may be worth to download iTunes to see if you like it. It installs clean so there should be no problems.