I had dozens of apps and recently started over. Here's a few of what I reinstalled first:
Pro HDR
Facebook Camera+
Find My Friends
Flipboard
NPR
Evernote
Omnifocus
Runkeeper
Google Search (good for QR scanning, plus it can solve a photographed sudoku puzzle

)
Amazon
Apple Store
Flow Powered by Amazon
Remote (Apple)
Google's YouTube App
1Password
Kindle
Toucharcade
Yelp
Waze
Wolfram Alpha
Games/Fun:
Plants vs Zombies
Gauge
Jetpack Joyride
Pocket Planes
The Incident
Gloop