I have the demo and always wanted to get it but it is quite rare. I think in two players against your girlfriend it would be really fun!The concept is quite original too because you need to feed animals the food they eat and the animations are well done.
I really prefer Magical Drop 3 instead of Baku baku. Puyo Puyo games are also good, so are the ones listed by digichan (but I don't really like Tenchi Muyou! Rensa Hitsuyou, there are far better games). For Noon, you need to understand what to do before enjoying it (and all are in japanese).