I have used several models of Sony Compact phones, until Sony discontinued that line of products, then ASUS phones.

No ads on any of those, and moreover I never had and still do not have any Google account.

The only problem that I had for not having a Google account was that one of the banks with which I was working terminated their on-line banking and replaced it with a smartphone app. That would not have been a problem, except that they refused to provide the app directly for download, but only from the Google store, which cannot be used without a Google account.