Also curious to hear about any bad ones you've done.
If the culture is take home, please don't convert it into a live interview; you'll get neither.
If I can't make a case live, but must go off with some pet project while imagining their behavior... I don't want that interview/work. Folks will certainly disagree, just here to remind of agency.
The best firms gave options. Am adult, will work under agreeable terms. One of those terms is "together" (time, not space), despite my own social anxiety. The same way the business hopes to select with this process, I will too.
None of this is to judge others - do what you prefer, but please do realize this 'take home' approach can be taken advantage of [again, for either side].
I get that some people want to be respected for their time, and that has to be built into the process before and after any take home tests are given - compensation, trial buddy, flight & hotel room, detailed feedback after the test.