As far as I know, it has always been possible to move channels, Wiiware, and VC games to SD cards. You just had to move them back to the Wii if you wanted to use them. Now it is possible to play WiiWare and VC games directly from SD cards. There should be a button to get to the SD card menu on the lower left side of the channel select screen on your Wii. From there you can select a game and it will play without having to move it back to the Wii's memory.
As others have said, make sure you keep the save files saved to the Wii, not the SD card. Also make sure you have enough open blocks available on the Wii. 500 open blocks should be plenty to play anything.
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