Well, the two different game types have become incredibly hard to define. But here's a safe list:
Casual:
WarioWare
Mario & Sonic At The Olympic Games
Link's Crossbow Training
Core:
Super Mario Galaxy
Super Smash Bros. Brawl
Scarface or The Godfather (whichever movie you prefer, I suppose)
Metroid Prime 3
Resident Evil 4 (or Umbrella Chronicles if you've played RE4 many, many times)
House of the Dead 2 & 3 Return
Bully: Scholarship Edition