I'm guessing that 'Twisty Thrillers' are those with a twist. If not, this is my interpretation of the theme.
Shutter Island
For some reason, I find this story set on an island with an asylum conforting. I think it must be the waves and the fact I know the ending. Once you know what's really going on, you can see all the signs but what's really clever about the film is that the 'signs' aren't really obvious, you still need to pay attention to detail. It's still disturbing no matter how to watch the film. I felt this film didn't get the recognition it deserved. A detective looking for an escaped criminal on an island which houses multiple criminally insane inmates, where the doctors and orderlies are just as sinister as the patients, is still brilliant no matter how many times I watch it.
Exam
Eight candidates for a job are seated in a room. They are given questions to answer and rules to follow, if they break a rule they are removed and no longer in the running for the job. The twist you say? Well, there are a few as little by little information about the job, the company and the candidates are revealed. Slightly futuristic as it involves a virus that has infected people and the company they are trying to get a job with is a pharmaceutical one that produces the medicine needed. But what biggest twist is what the actual answer to the question is. Its quite a good film, but could have been better.
Fermat's Room
Four mathematical geniuses are invited to an exclusive dinner where they become trapped and must solve mathematical puzzles to escape the room which compresses every time they miss a deadline with a puzzle. They suspect that one of them is the instagator. The twist? Well, there are a few small ones but obviously the big reveal is near the end. A great story, again, taking place mostly inside one space, one location like Exam.
