Online Music Alarm (www.onlinemusicalarm.com) turns your PC into a musical alarm clock. Start by typing the name of a song, and the site will present you with a list of entries for that song on Youtube. Choose the one you want, then type in one or more times. So long as you leave your web browser open, your chosen songs will then load and play at the time you selected.
OK, so it might not be entirely practical as a way of waking up in the morning. But it's a cute idea, and probably works well if you're at the office, or working on the PC during the evening, and you want to maintain a reminder for when it's time to stop for the day. Just keep a browser window open in the background.
Listen to your music when you want to. Check out www.onlinemusicalarm.com. And if you like incredibly talented folky Scandinavian girl bands, you could do worse than choose a song by Katzenjammer with which to test out the site.