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F.lux (free, jailbroken iOS, Windows, Linux, and Mac)
From personal experience, this app will help you sleep better and prevent you from staying up too late. You're not supposed to be looking at screens at night — unless you're using Flux. It'll remove the "blue light" emitted by displays.
Just input where you live and the app will adjust your computer's (or phone's) color based on local sunset times.
SnoreLab ($5, iOS, Android arrives March 2015)
Poor sleep quality could be contributing to your A.M. grogginess — and your snoring partner might be to blame. This app (which launches for Android in March 2015, sign up for the pre-release here) records snoring so you can prove to him or her that the problem is real. But the app's best feature is that it helps you test the effectiveness of different remedies like anti-snore pillows or nasal strips.
SleepCycle ($1, iOS and Android)
Place your phone under the bed sheet, get woken up in the lightest part of your sleep cycle, and feel refreshed in the morning for once.
Spin Me ($2, iOS and Android)
The only way you can turn off this alarm is by spinning multiple times. Do not try this when hungover.
100+ Easy Muffin Tin Meals (free, iOS)
If you're motivated enough to cook your morning meal, make sure it's easy and fast. This app has plenty of delicious ideas for breakfast muffins, which will motivate you to get out of bed if you pre-make them the night before. Just pop them in the toaster the next morning!
Carrot Weather ($3, iOS)
Add a little FUN to your check-the-weather routine. It'll spruce you right up.