Oh you'd be amazed,
I'm sure as time goes on you'll start thinking of more and more ideas and depending on long you want to keep pursueing it you could go on forever.
Look at Album View - at first it was just a plug-in to group your songs into Albums, now he's gone crazy with it and I use it all the time. I love it and it's got too many features to name.
As far as view methods go, I think the ability to display it in simple mode (now), list mode, details, icon would be the best
That's the easiest way of dealing with data - big icons for those who want it nice and simple just saying the alarm name. list for those who have lots of alarms and just want to be able to see them all easily, and details for those who want a lot of info at first glance.
The biggest problem with the way you've set it up now is that it's stuck at a max of like 6 alarms (unless you've included some trick I didn't notice). If you think of your alarm purely as a wake up alarm then that's fine. If you think of it as more of a reminder program for tasks throughout the day then it's a big limiting factor
You might have only planned it to be a wake up alarm but you'll probably find some users starting to use it for a lot more and using it as a reminder program.
Once you get going you could add notes that can appear with the alarm (ie: 1:00, FORCE YOURSELF TO GO GET LUNCH!!, 9:00pm, Call that HOT chick who's number you just got, etc etc.)
Another feature that would be great would be the ability to add individual tracks rather then just playlists (ie create our own playlists inside of the program.)
lol. Anyway, I'm just amazed at where you've got it right now. It's looking great