I am really enjoying this question. I get reminded of some typefaces I really like and get to learn about new ones.
I tend to like the Italian typefaces, and the Monotype typefaces. I like Bembo, Centaur, Jenson, and Garamond. I’m actually quite fond of Bodoni, too, and regret that it is not used more these days. I like anything designed by Eric Gill—including Perpetua, Johanna, and Gill Sans.
I am in my late fifties, so I came to typography from books, not computers, but I am interested in both letterpress and computer-based printing.