Place an advertisement on a local, free Internet site. Value it reasonably, or even give it away for free if your priority it to remove it from the home. Attached pictures help readers know what they are getting.
Call the local community college or high school theater group and ask them if they need a vanity as a prop for an upcoming production.
Call a non-profit second-hand store and ask them to come remove the vanity, if it is usable condition and someone else can benefit from it.
Set it out on the curb with a "free to anyone" sign on it. In many neighborhoods it will disappear within hours.
Call the local fire department and ask them if they know of a family that has lost their belongings in a fire and did not have enough insurance to replace them. The family might be grateful for a nice piece of donated furniture.