Kaggle has a short summary of applications:

• http://www.kaggle.com/wiki/DataScienceUseCases

Revolution Analytics published many general case studies, datasheets, and white papers:

• http://www.revolutionanalytics.com/resources/case-studies?type[0]=case_study&keys=

For applications in sciences and engineering, you can consult Nutonian case studies:

• http://www.nutonian.com/industries/

Analyx told potential clients about applications in commerce:

• http://www.analyx.com/en/company/references/cases.aspx

The Financial Times published a collection of stories about business applications of big data:

• http://im.ft-static.com/content/images/e91a32d0-2bac-11e3-bfe2-00144feab7de.pdf.

McKinsey outlined applications back in 2011:

• http://www.mckinsey.com/insights/business_technology/big_data_the_next_frontier_for_innovation

Other consulting firms made similar reports.

Gartner created Hype Cycle for Big data:

Not to mention the case studies and white papers by other companies that want to promote their products.

• Kaggle has a short summary of applications

• Revolution Analytics published many general case studies, datasheets, and white papers

• For applications in sciences and engineering, you can consult Nutonian case studies

• Analyx told potential clients about applications in commerce

• The Financial Times published a collection of stories about business applications of big data

• McKinsey outlined applications back in 2011

Other consulting firms made similar reports.

Gartner created Hype Cycle for Big data:

Not to mention the case studies and white papers by other companies that want to promote their products.