With the many vulnerabilities of scraping bank account data causing concerns for some large banks, Wells Fargo recently announced that it intends to create an API to enable integration with accounting software Xero to give small businesses better visibility of their banking data.
As far as web search tools go, few have generated as much hype as Wolfram Alpha. The service, which bills itself as a "computational knowledge engine," differs from search engines such as Google, in that it does not return lists of web pages. Rather, Wolfram Alpha attempts to calculate answers to user queries. For example, a query of "los angeles county median household income" will return the result "$43,518."
Life on the web is full of search terms and human filtering. Even good results often require some effort to determine which has the information we seek. There are several services attempting to help with this problem and they're making their applications available via API.