I've found information like the Space Shuttle Orbiter has so many thrusters each generating so much force to maneuver "with redundancy" in orbit. But without knowing something like how many thrusters are firing and their relative orientations, I don't know how to come up with a bottom-line number in m/s^2 or rad/s^2. Even approximate or typical values would be helpful.
I found transverse acceleration for the Space Shuttle Orbiter on page 1009 of the Shuttle Crew Operations Manual (December 15, 2008). I don't know how to reproduce the table here. But it depends on weight, of course. Also axis and direction. At 180,000 pounds (lightest weight in the table), max of 0.61 ft/s^2 in +X (noseward), apparently 0.32 in -X, 0.22 in +-Y (port and starboard), 1.29 in +Z (through the deck), 0.98 in -Z, and with the OMS 2.14 ft/s^2. Pretty darn soft acceleration. But if any maneuver could be done in minutes, to do it in seconds was considered a waste of fuel.
This older answer gives the rotational parameters: How fast can the space shuttle change its attitude in space?