In oneWorld, your elite ID card from any airline carries a color-coded symbol that reflects your alliance status. There are three oneWorld levels: Ruby (lowest, corresponds to AA Gold), Sapphire, and Emerald (highest, corresponds to AA Executive Platinum). Benefits are generally similar to those noted above for SkyTeam.
Because airlines base status on different parameters, it may be easier to earn a given alliance status level on one alliance member than on another for a particular travel pattern. For example, someone who flies mostly in paid F might earn relatively faster in one program than in another, while the second might be better for someone who flies discount economy. Or one may reward short flights better than another, or whatever. This can be a consideration in deciding which program to participate in within an alliance, though there are generally enough additional benefits to flying on one's "home" airline to make usage frequency the major factor.