I only had a landline in my student digs during the first 2 years of university. That was Sep 1998 to Jun 2000. In Sep 2000, I got my first mobile (Nokia 5110 yay!) and been on mobiles ever since. So haven't had a landline for the past 20 years.
On a similar note, I've never had a TV, ever. Granted TV isn't that relevant these days, but I'm talking before 1998 and 1998 onwards when I left home. Before 1998, as child/teen, I never had a TV. Left home in 1998 and still never had a TV and just got used to not having one.