I know I'm late with this; this could be the last bug report about the old topbar. But the text on the privilege progress indicator (on your profile page) appears above the dropdown menu coming from the Stack Exchange button, as can be seen in the picture below.
z-index property of
.s-progress-bar._badge .-info, .s-progress-bar._privilege .-info from 2 to 1 solves the problem.
The new menu seems to have a high enough z-index so that this is no longer a problem anymore: