Barnard's Star is the 4th closest star, and shows the highest proper motion (apparent motion) across the sky. With over 10 arc-seconds of motion per year, the change of its position is visible over a year's time. A small red dwarf, and at magnitude 9.5, it requires optical aid to see it. Also is know as V2500 Oph in the variable star catalogue, as is displayed here.
An image of the star taken from 2014 till 2024 at every two years illustrates it's motion over time.