RapeLay is one of the earlier-mentioned hentai games, and according to Wikipedia it has... controls.
Most Illusion games (such as RapeLay) have these as such a defining feature that it couldn't be called the 'mini-game' but the whole game. The exceptions are becoming fewer and fewer with each release, but the latest, Yuusha, returns the combat action to as large a part of the game as the earlier Battle Raper games.
If they didn't have this, wouldn't they just be normal games (or dating sims) but with pornographic cutscenes?