You're not the target of Fizzbuzz though clearly. But with that in mind you should be able to finish it so quickly that it would take less time than a standard question about your last job.
>FizzBuzz irritates me because they haven't gone to the trouble of thinking something else.
Because they don't have to. It's simple and easy to use filter that will remove a lot of noise. It's not perfect, some people will memorize a solution to it but simple changes to the question solve that. But it does really work.
I think having to sit on the other side of the table for a while gave me a lot more respect for the pain that is being an interviewer.
>Another thing I was given was "make me something interesting in 30min" or "try to solve this problem in 2 hours"
Which are totally different and often useless beasts though done right really helpful but honestly I was never willing to invest 2 hours into a single interview nor make someone sit in a room for 2 hours while I went back to work.