European company make, USA carrier compatible small phones?

Does there exist a small phone (<5 inches, preferably <4 inches) that:

1. Is from a Europe based company (which reasonably would have better security and respect for privacy than Chinese makes)

2. Has bandwidths that make it practically usable on US phone carriers,

3. Is Android or Android based with at least some access to the Google App store (as in Murena eOS which has access to app stores including Google), and

4. That is ready to go upon purchase and doesn't require one to learn how to and jump through the hoops of loading on some different OS, rooting, or sideloading, and what-not

Does this even remotely exist?