In general, I favor Bookerly the most, and that's what I installed on my Kindle DX after jailbreaking it. But I keep a variety of different fonts on my Touch, Paperwhite 4, and Likebook Mars, and I use different fonts every now and then, though I don't strictly assign any to particular genres. One of my favorite fonts, particularly for novels in Moon+ Reader, is
Lora. This is a good-looking transitional serif font with capitals and numerals that align well, thanks to generally fitting in a rectangular area that doesn't overlap with other characters or descend below the baseline. The tail of the Q might go down a little bit, but it doesn't go underneath other characters.
Amasis30, which came on my Nook, is a compact slab serif that resembles Bookerly. I have found it good for reading non-fiction on my Paperwhite. Malabar, which also came on my Nook, is one that I favored on my Kindle Touch, because it tended to be bolder and bigger than other fonts. But since my Paperwhite 4 lets me control levels of boldness, and Moon+ Reader gives me more fine-tuned control over font size, its advantages are not as important on these devices. When I try it out on my Likebook Mars, I usually go back to Lora. Literata looks good, but I usually favor Bookerly over it.
Moon+ Reader Pro comes with a font called Calluna, which is very nice, but I use it only with that app.
I sometimes use Tex Gyre Schola or FreeSerif for non-fiction. The former is based on Century Schoolbook, which was designed for school books, and the latter is my favorite Times New Roman alternative. I also recently used constan in Moon+ Reader for non-fiction. I also sometimes use EB Garamond.
When a book has a Publisher font, I usually use that if it is legible enough. If it's sans-serif, though, I usually find something to replace it. I rarely use sans-serif, but I have read some science fiction using the Ubuntu font.