Most of those Wii games you could probably skip and not miss anything.
There's a large percentage of crap in the Wii library but there's some very good third party titles in there too; Xenoblade Chronicles, A Shadow's Tale, Red Steel 2, Fire Emblem, Monster Hunter Tri, the Trauma Center games... then there's hidden gems like Deadly Creatures, Dead Space Extraction, Sengoku Basara, stuff that gets overlooked for being too cute like Dewy's adventure, Munchables, Opoona which actually have really fun and challenging game play. Then you've got the 1st party Nintendo games which are almost universally acclaimed and the remakes of RE4, Okami, Rygar and a few others that were console exclusives and brilliant games in the first place.
There's also a lot of sports games, fitness games, karaoke games, film tie-ins and other shovelware, but IMO if you're a gamer, it's unwise to dismiss it as a platform when it has so much good exclusive content.