Albany has two logos that are widely used: a silver "A" with a crown within, and a crowned rectangular emblem. The first logo is mainly used on older models (with the exception of the Cavalcade and Cavalcade FXT) and the second is typically used on much more modern models, but since their oldest car shown so far, the Roosevelt, uses the logo for newer cars, it is likely that it was the original logo that was replaced and later brought back into use (assuming its use on the Roosevelt wasn't an oversight).
The Washington is the only Albany car not based on a General Motors product, as the Washington is a based upon a Lincoln Town Car.
Although the first logo may look like any other typical crown, it however contains sexually explicit materials. If observed closely, it is visible that the crown is made up of four men with erect penises. Two can be seen on the most left and right leaning wheras the other two can be seen in between them facing back to back.
There's also a sexually explicit material in the old logo: in the top middle, there is a triangle in the middle of two balls, a reference to a penis.
A street in GTA IV and V is called Albany Avenue, a possible reference to the company.