I've read or listened to about 6-8 of Sue Grafton's alphabet series, not in order, by any means. The character's personal life continues from one book to the next, but nothing that has a bearing on any of the mysteries. As previously mentioned, I read all of the Holmes novels (not the short stories, though). Other than that, I think it's just whatever I come across and decide to read. One Nero Wolfe book. A couple of Fletch books.
THere was an Edgar Rice Burroughs book that I read a few ago. I forget the name of it. I think there was a bear on the cover. (Whoops, there's the bell. I have to get to class.)
I read a couple "Cat Who..." books by Lilian Jackson Braun and they were odd in that they were almost completely about the detective in this Minnesota town and barely about the mystery. Mildly entertaining read for atmospheric and interpersonal presentation. No "on the edge of your seat" wondering "who done it".