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One navigational star, alpha Centauri, has a proper motion of 3.7 arc
seconds per year. By now it has moved 1.5' with respect to the
coordinate system of the 1985 table.

Arcturus is another one with a large proper motion, 2.3"/year. Since
1985 it has moved .9'.

However, most of the change in the tabulated positions between 1985 and
today is due to precession. That affects the celestial pole, and
therefore the whole SHA/dec coordinate system. Nutation and annual
aberration have lesser effects, and these are periodic or quasi
periodic. They don't keep acting in the same direction over long time
spans as precession does. (Strictly speaking, precession is also
periodic, but its period is about 25,000 years.)

The naked eye star with the largest proper motion is 61 Cygni A, 5th
magnitude, moving 5.3"/year.

Barnard's Star, 10th magnitude, has the largest proper motion of all,
10.4"/year. Its transverse velocity (km/s at right angles to the line of
sight) is unexceptional, not even making the top 150 list. But the star
is only 6 light years away.

The proper motions of many stars are obvious and even measurable with
amateur equipment nowadays.

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