I still do.
While I have some cheap Vtech phones with message recorder plugged into the landline, I still maintain one plain touchtone phone in the living room that has no external power and still runs fine. Two years ago, when my street's power transformer blew and we had no electricity for days while it was replaced, that phone worked just fine throughout. Between that and the UPS I used for charging my mobile devices, I made many new friends among my neighbours. (Having a gas stove was also very helpful at the time...)