1. U2 - Summer Rain
2. Beatles - Rain
3. R.E.M. - I'll Take the Rain
4. Travis - Why Does It Always Rain On Me
5. Moby - The Rain Falls and the Sky Shudders
EDIT: 6. Blind Melon - No Rain
EDIT: 7. Eurythmics - Here Comes the Rain Again
If you peoples want to suggest others, I'll add them.