Several years ago I interviewed with MCS and one of the interviewers asked me how I would design Amazon.com. Is that type of question appropriate on programmers.stackexchange.com?
It's too broad. Questions asked on SE sites should be specific enough to be answerable with a single, relatively short answer (a few paragraphs or less). It's also a poll question, inviting multiple answers with different approaches.
I daresay it's too broad as an interview question as well.
When a question that is very broad is asked, it is an attempt to see how well you are able to work through the question. Asking "How do you implement a game of Monopoly" wants you to think through the problem. How do you represent the board, the cards, the placement of the tokens, the rules for the special squares, the houses and hotels and property values...
The interviewer wants to see you work through the problem and talk about the data types being used and the like. When you hit an area where you are unfamiliar with, how you work through that part of the problem is another key point of the question.
The thing here is that questions asked in interviews are often poor P.SE questions because they have different goals. The interviewer isn't interested in the right answer as such, but rather how the interviewee thinks and works through the problem. On the other hand, on a Q&A site, we are interested in the solution rather than the process of coming to the answer (its sometimes useful, but not the focus of the site).
Interview questions by their nature are often too broad for the Q&A site format.