It's hard to even find a good feature phone these days.
At least I'm looking for one now because my Nokia E5-03 died yesterday so now I have to figure out what to get.
I want something small, that I can stick in my pocket and not worry about the screen, with days of standby battery life, and where I don't have to read and "agree" to pages of legalese.
In the heyday of feature phones, I could pick one up for $20. Nowadays, those phones are designed for old people, and are more expensive than a cheap smart phone.
If you won't install any apps why bother with a smartphone then?