Using GSMArena's Phone Finder, I set -
Less than 5.2" Screen
2018 or newer
4000+ mAh battery
300 Euros or above (I assume you're not looking budget?)
And it gave 4 options. None of them look very appealing to me.
**EDIT** In fact, set a max weight of 180g and there is nothing...
This is why devices outside of your request were suggested
**EDIT** Also, a 5" screen is a pretty silly limit IMO. The suggested S10e is almost exactly the same size as your outgoing Pixel... but you disregard it as the screen itself (not the phone) is too big?!
The Mi 9 SE is only 4mm wider too...