iPhone SE 2016 is the last model with a headphone jack... iPhone 7 and 7 Plus released in late 2016 no longer has a headphone jack and no iPhone ever since has it...don't believe the 13 mini has a headphone jack.
iPhone SE 2016 is the last model in its size that still has a home button... iPhone SE 2020 and SE 2022 both have home button but they are bigger than SE 2016
iPhone 12 mini and 13 mini are the closest to iPhone SE 2016 in terms of size but they have a bigger screen due to no longer having a home button... Go with the iPhone 13 mini since it has better battery life than iPhone 12 mini...
iOS 15 is the last update for iPhone 6s, iPhone SE 2016, and iPhone 7 so you will no longer get app updates for those that require anything newer than iOS 15, Netflix for example, but you can still use the last compatible version although sooner or later they will stop working and you will need to purchase an iPhone that can run iOS 17 and newer since that version will still get app updates for many years...
How iOS Apps Adapt to the various iPhone 12 Screen Sizes - also applies to iPhone 13 series