If you can stabilize neutronium, or something equally dense, this will work.
Big if, however.
Otherwise, it won't work - the density simply isn't high enough to build it on a sane scale.
Build the flooring of your station out of a sheet of neutronium ~58nm in thickness and ~100m in diameter.
A cautionary note: this will mass somewhere on the order of three-quarters of a quadrillion metric tons (~7.5 * 1014 kg) - somewhere in the range of a decent asteroid (several km in radius, depending on the density of said asteroid). You had best ensure that it is safely bound to the station, lest it tear the station apart. Remember, it's 60nm thick.
Also, one had best hope that said stabilization is stable, lest it explode. That much evaporating neutronium would release on the order of 5.6*1028 J of energy. (That's somewhere around the amount of energy required to stop the Moon in its orbit around the Earth, just to give you a comparison.) That's enough to melt a cm of aluminum at 45 light-seconds away (!), if I did my math correctly.
This will give you a difference in acceleration of something like 20cm/s2 between head and feet, which may be annoying. Though you can mitigate this by making it larger.
In actuality, you'll want to vary the thickness depending on the radius, as well as spin it slightly (which reduces the total material required). Otherwise you'll get weird effects anywhere but the center of the disk. But with the spinning and thickness variation you can get something like 90
% of the disk's radius to be locally flat, which is good enough for most purposes.
Note that you could accomplish much the same thing with an array of small black holes - although they would have to be rather small in order to not have a noticeably "bumpy" field, and the required stabilization would be even more absurd for them than for neutronium (among other things, the Hawking radiation would mean that they would decay almost instantaneously unless stopped)