I'm late to the party, but I hope it's still okay to share my thoughts on season 2.
My main reaction was that it was so much more mundane. In season 1 there were the horsemen of the apocalypse, a hellhound, witches and witchhunters and an abundance of maggots and flies. In season 2 there were coffee shop owners and stage magicians. The side characters also felt much more like normal people than for example Anathema. Even Gabriel and Beelzebub set aside Armageddon for a mundane romance. Of course the heaven and hell and the angels and demons were still there, but it somehow felt much more normal and "mainstream". I mean, Good Omens 1 was already popular enough to probably count as a mainstream show, but it had this weirdness and uniqueness about it that felt toned down this season.
That being said, I still enjoyed it a lot. I tried not expecting too much before, because some shift was to be expected. But I was pleasantly surprised and definitely would rather have this season than not have it. One of the main attractions for me was always the chemistry and dynamic between Crowley and Aziraphale and those were still there. And while it's true that the overarching plot felt more like getting us from the plot of season 1 to a planned plot for season 3, I didn't mind much, because the season wasn't long enough to get bored by that.