I personally don't have much experience with Sony Ericsson phones. To me, all Sony electronics (outside of the PlayStations) are always just good, but also always at a price premium, and there is usually better value to be found with another brand. (I will concede that many of their recent products, however, actually feels like they are the best in class again.)
Sony phones are no exception to the rule. I've only seen one Sony phone out in the wild (outside of the Persona 5 anime, where apparently every phone is made by Sony). It was good, had everything I wanted on a phone, but nothing really stands out about it outside of its small size. You would think the company that supplies everyone's camera sensors and makes the best mirrorless camera would, by logic, have the best camera phones as well, but again, nothing about them really stands out.
In conclusion, always good, never exceptional.
Also, last 2 cents, I just can't take the name "Xperia One II" seriously.
I've had an Xperia S and Z5. I loved both phones because they were well designed aesthetically, both hardware and software, in comparison to the competition at the time such as the early Galaxy S models. As part of their UI skins, they also had some thoughtful features and some hardware features which at the time weren't so common, such as side fingerprint unlock with the later models. Nothing truly revolutionary, true, but just a well rounded experience, and at least with their early models, worth the slight price premium.
Then Sony stopped selling their phones in Australia a few years ago, so that was that. :(