I do agree the battle system of Criminal Girls is... awkward at the best of times, but I enjoyed the hell out of it, because having limited tactical options, despite having a large amount of them available (and having those options limited by the characters themselves) does appeal to me.
As for Conception II, the battle system is pretty simple. You control up to four squadrons (you and the girl you bring along, plus up to three squadrons of up to three Star Children), there's a facing aspect (enemies take more damage from certain sides, enemies who attempt a powerful attack make it obvious where they're hitting, getting backstabbed is very bad for you, etc.), but it lacks a lot of the... finesse? of certain other Atlus games. It's almost certainly controversial, though, given the game's heavy focus on the fact that the heroines and the hero have to have what is effectively G-rated sex to make the Star Children. Rarely, threesomes (though the children tend to be more averaged out for it). And you have to do that a lot, given that their max levels are based on the heroine's level, the humans level very slowly compared to their children, and for best effect, a large chunk of your main fighting squad ends up leaving the party forever after every dungeon foray since they hit max level and should be released.
Never mind that it's also a harem dating sim game, and you are encouraged by everyone, even the girls themselves, to raise your relationships with all seven girls.