Yup - sort of depends what you want to do with it - what is important to you - some like Ithaca 37 and Browning BPS will eject out the bottom - no side ejection port like on a Rem 870. That may or may not matter to you. Some, again that Ithaca, made to "slam fire" - hold trigger back and it will fire each time the pump closes the bolt - most shotguns make you release the trigger and re-depress it to fire again, after cycling the action - again, that may or may not be important. Many of us started with simple hinge action - external hammer - some of us still "stuck" there, or "stepped up" to a hammer double barrel. Or a hammerless double side-by-side or over-under. Some will "swear" that a semi-auto is the only type to use ... Lots of choices.
About same with sighting - less expensive guns from "old days" typically just had a round front sight "bead" on end of round barrel. More expensive guns had "ribs" - sometimes with a second smaller sight about half way to muzzle. Very expensive ones had really high ribs. More choices. Really helps to "pattern" your shotgun with the ammo of choice, to know where the shot cloud is going, relative to the sight.
You might also want to consider barrel length - in old days with black powder ammo, a longer barrel typically would generate higher velocity to the shot - no longer true with smokeless powder, but a longer barrel might allow you to "aim" more precisely, if you actually "aim" a shotgun.
Is an local older fellow who "swears" by his various Winchester Model 12 - I think he has four of them - but he has let the chamber rust in his "favourite" - will not reliably eject a fired shell - nothing to do with a "brand" or maker - I am pretty sure same thing will tie up any repeater, when the extractor can not hold onto the fired case's rim.