There are very few companies that do not follow the standard interviewing practices. So if you try to filter them, you won't have enough to get a job.
Instead, you can try approaching things differently. People want to judge your abilities when they feel that it's critical to get the best employee. So you basically need to eliminate their fears. Networking and making friends works pretty good. If you are recommended by an existing employee, the interviewer will take it easy on you. Internships also work pretty good. There is less pressure. And when you prove yourself after a couple of weeks you can demand a salary or walk.
Homework is never a good idea. Searching for a job usually takes you through many companies. If at least half of them give you homework, you will waste days or even weeks just solving imaginary problems that nobody cares about. Solving tasks at home sounds like a good idea at first. But after you do it and the company chooses someone else, all you get is a bitter aftertaste.
As a personal note, it really helps if you treat the interviewers like stupid children. Some readers may be offended by this, but it really works. When you finally accept that he has no idea what he's doing, it will be much easier to control the interview.
Interviewers are rarely good programmers. If they start with something like FizzBuzz, you can easily tell that they don't have the ability to understand things. They just take ideas from somewhere and run with them. No originality, no abstract thought and no critical thinking. Once you see that and realize that you are better, performance anxiety will no longer be a problem.
You're basically being judged by people following a generic checklist they got from a blog or "top 10 interviewing tips" article. Understand their reasoning and you will own them.