For this purpose a core game is a game that's designed to be the best overall experience possible, the most bang for your buck so to speak, a game that engages and challenges the player on many levels and can take days or weeks of moderate playtime to complete. Why do I want them to live on and flourish like wild red Pikmin? Because they use the system. The controls were designed for buttons and often have waggle thrown in just because the developer felt it was necessary or maybe, the motion controls are integral like Metriod Prime 3's and Twilight Princess' aiming. Maybe they have an interesting plot or a unique graphical style. Maybe they make use of internet features to further communication between players or expand the replay value of a game. What's the point of having those games on the Wii? Because they're fun. People complained about the Wii being a Gamecube 1.5, and they're right, but this has been old news for about 3 years now. By the way, don't befriend any Kazakh reporters, it's a trap.
A proper Wii game could be any core game A proper Wii game is enabled, not hindered by the Wiimote. It's enabled by a long tradition of deep and creative gameplay that puts the player in a world or situation they haven't been in before, not just recreate stuff I could be doing in real life. I want to play more Wii games that feel like the developer took care to cover all the bases and dare to be different instead of ripping off other games, holding back options, or watering down difficulty to appeal to a wider audience.
But I don't see this ending because the biggest offender will never stop as long as Uncle Scroogiwata swims in a vat of gold coins. Who is the best offender? Nintendo themselves! Brawl was a GC game with prettier graphics, free online play, mulitple control options, classic game mini-demos, and more. Galaxy was primarily a GC game with the Wii functions fairly non-essential for the gameplay except for slinging mario around, throwing a shell, aiming in flight mode, the greater graphic capabilities, the larger disc capacity that makes an orchestral soundtrack possible, and more. What is this coolness, is that how you're going to sell your advantage over other consoles, by creating magnificent games?
Give us more reasons to say "yes, the Wiimote was the right way to go"! Don't just throw franchise games at veteran gamers as if to say "you guys only want to relive the glory days of the NES"! Tell us why we need motion controls! Don't keep acting like games are only intended for soccer moms on staycation or Analogue-TV-deprived eldery folks; I KNOW they're useful for making new games that hold the interest of veteran gamers too so keep up the tea-table-upending, brilliant gameplay, tight controls, interesting characters, and vivid worlds and keep making Wii games worthy of the Revolution.