A 4x8 coop would meet recommended minimum for 8 standard birds. If you are planning on doing a lot of integration (addition and subtraction) or have things that will eat up floor space, like nests, you would likely need something larger.
Taller mainly adds more air volume and opportunity for ventilation. Like my coop is very tall (9.5' at peak) so it adds a lot of air volume to help eat up moisture and odors.
On the most basic level figure birds stand 12" over the roost, so ventilation should be high enough above that that they won't get wind blowing on their heads.
Keep in mind that it's not that cut and dry, like I have open windows right at roost level and they stay open even below freezing without issue because they don't face predominant wind directions, so there's no draft to contend with. The times that there are unusually strong storms, yes I have to close some of those because that's when the sideways wind is strong enough that rain and snow can blow in.