Well as an Anti Wii person who still plays it, here are the games i would recomend
Zelda- uses wiimote pretty well, is a bit simple, but overall i keep playing it (havent won it yet)
Battalion Wars 2- Use the Wiimote but doesnt really need it, Its a bit like being in a RTS game, one of the top 5 games (IMHO).
No More Hero's- ok, gets a bit old, but not to bad, wimote use required
Ghost Squad- rail shooter, way to short, but fun (must like gun games) wiimote works great
Metroid Prime- good use of Wiimote, but uses it in places where its just lame (good outwieghs bad)
Elebits- very wierd game, basicly tear apart a house looking for little guys who make electcity, you turn on stuff(tv-pc-lamps) and more pop out so you can turn on more stuff, use wiimote to shoot um(collect um) also used to grab stuff and move it and open stuff, very wierd, but i like it.
Pinball hall of fame- not to bad, kinda cool to bump tables with wiimote
Zak and Wiki- puzzle game for kids, but some of the puzzles are a bit tough, uses wiimote alot
Dragon Quest- this one got bad reviews but I like it alot, uses wiimote to fight, action RPG
Fire Emblem- no use of remote, but good tactical RPG
Just my opinion