I hesitate to complain, because I did get the last two award tickets available on Concorde at the time I booked

(this with no status on Qantas, where I pulled the miles, nor British, on which I flew), but in general award availability is sometimes a problem, even for top status members.
Failure of agents, especially at hotels, to understand the benefits of top status, can be frustrating. I am a good sweet talker, but I shouldn't have to do that. All airline agents seem to know when they are talking to a top status person and how to respond when so doing.
Failure to provide elite security by-pass lines at all airports.
Failure to provide exclusive top status check-in lines at both hotels and some airports.
That's all that bugs me. Can't think of 10.