At present, we decide which movies to watch on a case by case basis, with a new question for each viewing. I propose that we start a single meta question thread and keep it going indefinitely, and every time we are ready to watch a movie, we pick the one with the most upvotes.
This system would encourage participation, and make it easier to keep track of the voting. A suggestion that loses once will still be in the running for the next go round. The possibility that your suggestion will win would no longer be dependent upon your keeping track of a succession of different questions, and repeating the same suggestion time after time.
The problems caused by having a new question every two weeks, and people not knowing that a new question had been asked, would cease to exist. There would be one place to check in on how the voting is going, and how your suggestion is doing.
One of the problems with the current system is that a new question is asked every two weeks, and whoever submits the first answer is likely to attract more votes than later answers. This discourages people from participating after the first day or two. If we adopted my proposal, everyone would have an equal footing, regardless of when they submitted their suggestion. The advantage of submitting a suggestion early would be negated by the fact that the process is ongoing, and every valid suggestion will be likely to win eventually.
When a movie is watched, that answer would be deleted, and the remaining answers would become the focus of the voting. This would have the added benefit of allowing people to see which movies had already been watched, and therefore, should not be suggested again.
The biggest problem with the system now in place is that people just aren't participating. The last few times we've watched a movie, there have been 3 or 4 participants (and Shaun of the Dead was just me and Richard), which isn't much fun. I think this is largely a result of the voting system. If you don't notice that a new question has been asked, you won't know that a movie event is about to happen. If you notice the question too late, the votes will already be in, you won't bother to submit a suggestion because you know it won't stand a chance of winning, and therefore, you won't be interested in watching the movie. An ongoing thread will attract attention and encourage participation.
This is the way the SE system works in every other situation - once an answer is submitted, voting on it continues indefinitely. The best answers rise to the top of the heap. I see no reason why this situation should be any different from the rest of the site.