So hard to pick, but if we're limiting it to 5 and 5 (understanding that sometimes these can shift depending on my mood and I'm going to go ahead and put two honorable mentions for each category):

Solo:
1. Part of Me, Part of You
2. Smuggler's Blues
3. You Belong to the City
4. That Girl
5. River of Dreams
Honorable Mentions to The Heat Is On, Brave New World, and After Hours


With the Eagles:
1. Take It Easy
2. Peaceful Easy Feeling
3. Heartache Tonight
4. Already Gone
5. New Kid in Town
Honorable Mentions to Out of Control, No More Cloudy Days, and How Long