When you perform a Google search and an answer appears alongside the list of results, this tidbit of goodness comes thanks to the company's Knowledge Graph. It provides much of the brainpower for Google Now, pulling down information from a variety of sources such as the CIA World Factbook and Wikipedia. The thing is, Google thinks it's still too dumb, so the search giant has already started working on something better.
Google translate can be tricked into providing some hilarious results, but for average queries, it generally does a really good job of translating and offering additional information like synonyms and usage types. It looks like Translate on the web is learning a couple of new tricks though - recently, Google flipped the switch allowing Translate to show usage examples and word definitions. Various alternate translations (sorted by frequency) still appear on the right, while the new bits of info appear in a column on the left.
The Google Dashboard is a handy tool for keeping up with what information Google has stored for you in its various different products. One piece of the handy information, though, has taken a while to become available but it's there now: your Android devices. It's unclear if this feature has been around for a while, but either way, it's useful. If you'd like to see which devices are registered with Google, and more interestingly, which apps on those devices have backups stored on Google's servers, you can do so from your dashboard.
Recently, Wolfram Alpha LLC dropped the official WolframAlpha app into the market. It is one of my favorite services and I purchased it ($1.99) as soon as it came out. For those not familiar, this is a clip from the "about" page of WolframAlpha to give you some idea of what this is all about:
Wolfram|Alpha's long-term goal is to make all systematic knowledge immediately computable and accessible to everyone. We aim to collect and curate all objective data; implement every known model, method, and algorithm; and make it possible to compute whatever can be computed about anything.