Austin Roy Grimes (September 11, 1893 – September 13, 1954) was an American second baseman in Major League Baseball who played briefly for the New York Giants in 1920.

In the five seasons from 1923 through 1927, Grimes batted .335 for the Columbus Senators and Toledo Mud Hens of the American Association, a league on the top rung of the minors.

Grimes died in Guilford Township, Ohio, at age 61.

A third brother, Kenneth Grimes, was a teammate of Roy and Ray in the minor leagues.

This biographical article relating to an American baseball second baseman is a stub.