On a web page titled Jews with Tattoos there are a few Stars of David.
Rabbi George (Gershom) Barnard of Northern Hills Synagogue wrote that:
In recent years, both the Reform and Conservative movements have had to address the issue, and both of them forbid tattooing.
An interesting point is raised on:
Kaufman explains… that "a majority of young Jews have tattoos, ear-rings, nose-rings--this is a fact of life today. Ask any parent. So it hit me suddenly, of what use is this halachic law if it's going to exclude an entire generation from Jewish ceremony and tradition?"