No other permanent makeup is authorized.
As far as placement or location goes, we recommend the t-shirt test.
For instance, you might see an old-timer sporting an anchor, a few swallows, a dagger with a rose, etc.
Here is where the Air Force differs from other branches as well.
Through surf and storm and howling gale, High shall our purpose be.
This is the most up-to-date resource out there on tattoo policies of the different military branches.