I don't think there were any "official" service-specific versions of the basic National Insignia. It started out as mentioned above..first the red "meatball" was deleted in 1942. In the spring of '43 the white bars were added, with a red border around the whole thing (my personal favorite.) Many Army, Navy and Marine units in the Pacific deleted the red border, as any red was considered too easy to confuse with the Japanese "meatball." In the fall of '43 the red border was changed to blue. When the Navy went to overall dark sea blue paint schemes, some manufacturers were given permission to delete the blue portion of the insignia to save time and paint. The red stripe was added to the bar in 1947, when the USAF became a separate service.
The fact that the "star and bar" insignia has an actual border is often missed by restorers, moviemakers and model decal companies. This is the correctly proportioned inignia..

And the way it's often incorrectly rendered. I suppose it's a rather silly nitpick, but it always sticks out like a sore thumb to me.

The Army, Navy and Coast Guard did each have their own versions of rudder stripes. The Army and Navy eliminated them early in the war, but I think the Coast Guard kept theirs throughout the war.
SN