The Samsung phones up to S5 did when I had them
Note quite what you’re use case is, but if you’re looking to have something permanently plugged-in without risk (or, at least microscopic risk) of battery swelling/fire, recent models of Samsung phones+tablets have a “Maximum battery protection” mode where you can limit charging to 80%. I use an old Galaxy S22 as a control panel for the solar+inverter+security systems in my travel trailer - its permanently plugged in and just happily hangs on the wall keeping cool and doing its thing.
Nah, more thinking towards repurposing old devices with bad batteries for around the house permanently plugged in, without any battery at all.
Not every device absolutely has to be portable, but sadly in all my years of tech, so far (to my knowledge), have I ever run across a mobile device that’ll function without a battery :(
I think most phones work with a battery removed. I think your best bet would be phones with removable batteries.
Nope, so far never seen one work that way, and both me and my roommate have phones with removable batteries, so of course I’ve tried, but no dice, they instantly shut off when power is plugged in but you remove the battery :(