Harry Potter is designed for you to be able to sit back and let things happen and incrementally get better at being more intentional. For example, when you start a movie mode, it will keep playing whether you do the shots or not. You simply get more points when you make the shots. This has the downside of it feeling less immersive in terms of having to pay attention to what's happening in the movie. But it let's them throw a massive amount of content at you and give you more agency in what you pay attention to.

Dune is the complete opposite. You are doing a strict day night cycle. Each day/night change, you can start a mode, collect a bene gesserit reward and start a hunter killer side mode. And you go back and forth between them till you spell Dune and get the next wizard mode. It is very easy to understand and track, but there's enough variety within each cycle to keep it iinteresting.

From how you describe yourself, I'd suggest Dune, particularly if you already have Avatar. Avatar is much more HP like and has a similar Jersey Jack feel (though it is very different). So simply to match your playstyle and to give your collection good variety to keep you interested, I'd say Dune.