You can usually choose from several "standard" icons, or "icon sets" inside the program/driver that controls a given device, although the usual settings there are just for pointer size. Windows lets you select from a variety of "desktop themes" that will change all your icons to "real cute stuff."
That's just one of the problems with figuring out "funny stuff that pops up," since you never know what options the person with the problem is using.
There are also lots of different mouse makers, conventional and trackball (and a few other variants) and each has its own variations on icons that come with the drivers. Sometimes a different screen resolution also will change the appearance quite a bit, if you stray too far from the "usual" settings.
I seldom see too many variants, since I've never found that the "real cute stuff" contributes to getting more work done - but it is there if you want it.