Off the top of my head I think religious privilege should be taken away. Hobby lobby shouldn't be allowed to ignore health care requirements for the women working for them. They are conducting business in the US. Benefiting from everything doing business in the US brings. They are not a church. No religious privilege for them. Same for pharmacist. They shouldn't be allowed to refuse to fill a birth control script just because they don't believe in it. Or the Kim Davis types. She should have been fired for refusing to do her job.
And any hospital receiving any public money shouldn't be allowed to refuse to properly treat based on their beliefs. Again, women who need a D&C or abortion to save their life.
*Do any of you notice how most religious privilege centers around subjugating and discriminating against women. It's always about controlling women and their bodies and behavior.
Another example of privilege (as defined by "As go I so goes the world" ) are the people who think that because there may be plenty of jobs/opportunity in their little corner of the world, this is true everywhere. This type of person, when told that certain jobs are hard to come by, glibbly replies, "Well, there are lots of these jobs here", or 'why don't they simply retrain/go back to college/move/whatever'. This same type often says the person in the not so great job should simply 'get a better job'.
Privilege says there is NO problem with states closing polling places/license offices/early voting/draconian voter ID in certain places. These people, OF COURSE, can simply drive to the polling place, get the required ID, or take off work to vote. And the college students can SIMPLY return to their home state to vote.
These are just a couple of examples i can think of right now. there are many many more out there. But of course 'Privilege' will deny them all because, well, privilege.