Charlie Sheen rides a 1985 Honda XL350R in the movie The Wraith. The movie was released in 1986. The Honda XL350R is a dual sport motorcycle, which means it is designed to be ridden on and off road and was manufactured from 1984 to 1985.
The 350 is an interesting size for a dual sport motorcycle. Most line of modern dual sport models from a manufacturer will have a 250cc model and a larger bike around 500cc. Sometimes they will produce a size in the middle, which is what Honda did with the XL350R. Honda also manufactured a XL250 and XL600 in 1985. Even though Cycle World ranked the Honda XL350R as the best dual sport motorcycle in 1984 and 1985, Honda did not produce a 1986 model. I don't know if the bike didn't sell well, or maybe it was taking sales away from another model.
https://www.youtube.com/v/4wVcjMck_SECharlie Sheen riding a 1985 Honda XL350R in the movie The Wraith