Hmm, If Mario and platformers aren't your thing, your choices on the Wii might be scant, since those both tend to be the Wii's bread and butter.. But here are some games I'd check out based on your prefered genres and some other random games you might like..
First off.. Mario Kart Wii is a MUST, especially if you like the Mario Kart series
Monster Hunter Tri
Metroid Prime 3, or Trilogy if you can get your hands on it
RE: 4 (if by some chance you haven't played it yet)
Little King's Story
Tales of Symphonia 2
Fragile Dreams
Silent Hill: Shattered Memories
Sin and Punishment 2
Muramasa
Mad World (while you can wax this game off pretty quick, it is a steal at the 9 bucks amazon sells it for)
Dawn of Discovery (not sure if you like RTS games but it is probably one of the best you'll find on a home console)
Red Steel 2 (nothing like the first Red Steel, and is one of the few Wii games that uses the Wii motion plus quite well)
also, look out for Last Story. From what I've played so far, it is a well made JRPG, if you don't mind the somewhat bland color schemes.
The sweet part is, you can probably find most of these games in the bargain bin now for like $10-$20 bucks.
