What are the best news apps for iPhone or Android?

My favorites for the iPhone (some are available for Android, too):

personalized news apps, based on machine learning algorithms

1. Zite (acquired by CNN)
2. Hopflow
3. Prismatic
4. Material
   
5. NOOWIT (app coming soon, currently web only)
   
6. Trapit (iPad only)
   
7. YourVersion
   

ranking news apps, news based on what the people you follow like, or what other people that use the same app like

1. Flipboard
2. Cliqz
   
3. Thirst
4. Fireplug

social news apps, news based on what your friends and contacts on your social-networks like

1. Undrip

trending news apps, news based on what is hot and popular

1. Riversip (automatic)
   
2. Digg (human, not automatic)
3. Njuice (automatic)
4. NewsWhip (automatic)
   
5. Fever (automatic)
   
6. Newser (human, not automatic)
   
7. Frrole (automatic)
   

quick news, news articles shortened via text summarization

1. Circa (human, not automatic)
   
2. Wibbitz (automatic)
   
3. Clipped (automatic)
   
4. Summly (automatic)(acquired by Yahoo! & integrated in Yahoo! news)
5. Simply (automatic)
   

audio news apps

1. Umano
2. Hourly News
   
3. Stitcher
   
4. Antenna
   

video news apps

1. Newsy
2. NowThis News

generic news apps, news aggregation based on your customization

1. Feedly
2. News Republic
   
3. Newstream
   
4. Taptu
5. Pulse
   
6. Google Currents
7. News360
   
8. SkyGrid
   
9. StreamGlider (iPad only)
   
10. NewsMix
11. Info Junkie
    
12. Float
    
13. Trove
    
14. Fluent News
    
15. ChannelCaster

other news apps

1. Blancspot
   
2. Breaking News
   

Toplists of news apps for iOS (iPhone/iPad):

• http://appshopper.com/bestsellers/news/paid/?device=iphone&sort=rating&dir=desc
  
• http://appcrawlr.com/app/search?q=news&search=search&device=iphone
  
• http://www.appexplorer.com/?q=&c=6009&r=4&so=pop&dev=&p=5
• http://www.appstorehq.com/search/results?crumb%5Bcategory%5D=News&crumb%5Bplatform%5D=iPhone&crumb%5Brating%5D=4.0&crumb%5Brelease_date%5D=%2A-%2A&crumb_order=query%2Ccategory%2Crating%2Crelease_date&format=html&page=1
• http://www.appolicious.com/search_based_categories/11-news
• http://appadvice.com/appcharts/100?genre=news

Toplists of news apps for Android:

• http://www.appbrain.com/apps/popular/news-and-magazines/updated/?o=0

Deadpool of news apps I used, that are not available any more :(

Flud - http://www.flud.it/
Wavii - http://wavii.com/
Summify - http://summify.com/
my6sense - http://www.my6sense.com/
Smartr - http://smartr.mobi/