IR if well implemented is superior to Dual Analogue in most genres, especially Wii also has an analogue stick and enough buttons to cover some functions of DA.
The only genre i can think of that is better of with DA is Fighting.
Racing: I love Mario Kart while using Wheel (yes maybe you cannot be as competetive but its awesome fun)
Shooters: RE4 Wii is one of the Best Games Ever
Platformers: SMG? I know its a bit of waggle but i actually prefer waggle to pressing A
Action/Adventure, it worked great in Zelda, Madworld, No More Heroes, WM+ should work awesome in new Zelda
RPG: Not much use, but again it could help with interface, just look at PC WRPG's much easier to select stuff
RTS: Obvious
But of course that just my taste, but i really think that motion is basically a step forward.
