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I've never actually owned a Nintendo console so don't really know what to look out for.
Are you an action man? Sports? RPG's (yes even the Wii has more than the PS3 now 0_o)
Resident Evil 4 (if you haven't played it on other systems)
The house of the Dead Overkill - genius in a Sega shoot-em-up
Zelda: Twilight Princess - to see what the Zelda fuss is about...
Mario Kart Wii - brilliant racer - especially online.
Wii Sports Resort (seeing as you like Wii Sports)
I'd find it easier to reccomend Nintendo titles to download on virtual console though...
I've never actually owned a Nintendo console so don't really know what to look out for.