I don't download apps, and I make a point of never entering google account credentials into an Android phone. I don't trust Google, and I don't trust app developers; the whole ecosystem seems designed more to exploit than to serve the end-user. So I just use my phone for SMS, and for killing time browsing the web while I wait for a bus or whatever.
I used to do the same until I broke my smartphone and found that I wasn't missing it at all. Now I use a clamshell phone someone gave me. It's very lightweight, compact, robust and it can last about ten days without being recharged. Sometimes, having an internet-connected device with me would be nice, but I don't find this occasional need worth the hassle of maintaining a smartphone.
I'm occasionally tempted to try building my own device, with a QWERTY keyboard, 320x240 monochrome LCD, and hardcoded apps for SMS and email. It would be big and clunky but it would be kind of nice to have a gadget that did exactly what I wanted.