In Nintendo's excellent 'Rhythm Heaven', you use a DS stylus to match the beat. In the popular iPhone series 'Tap Tap Revenge', you just use your fingers. Of course, if you still want to shred, you've probably already bought "Guitar Hero: 'Metallica'.
'Patapon 2', 'Zubo' and 'Major Minor's Majestic March' are three games that find new ways to turn the beat around.