On the new iPad, Siri can answer questions about weather and stocks, even though Apple hasn't (yet) ported its Weather and Stocks apps to the iPad. Apple did show a glimpse of a new default Clock app for the iPad, so we won't be shocked if Stocks and Weather finally make the leap to the big screen before iOS 6's official release, too.
If you have lots of apps, sometimes it's hard to figure out precisely which homescreen they're located on. In iOS 6, Spotlight makes that at least a smidgen easier, by listing the name of the folder a particular app is nestled inside when it appears in the search results.
Apple introduced the Reminders app in iOS 5, and it looks to score some helpful updates in iOS 6. Apple says that you'll be able to set location-based reminders from the iPad. Even better, you'll be able to tap in addresses where you'd like to be reminded manually, a feature currently missing from Reminders; at present, you can only set reminders for locations linked to addresses for your existing contacts.
Also new in Reminders will be the ability to reorder your tasks as desired. And Apple told developers that iOS 6 includes a new Reminders API, which should make it possible for third-party apps to integrate with the Reminders database. That means that you could use Siri to set Reminders which would in turn be visible in your third-party task management app of choice.
Sometimes, you can't take a call when your iPhone starts ringing. You can already quickly send a call to voicemail by tapping the Ignore button, but iOS 6 adds more powerful options for when you're too busy to answer. When your phone rings, you'll see a button on the screen akin to the new camera shortcut on the lock screen in iOS 5.1--a switch that you slide up to trigger.
When you do so, you'll see options to send the caller a message, or to remind yourself to call the person back later. If you choose to send a message, iOS offers several default options; you can also save custom responses. Your iPhone will then attempt to iMessage or SMS the caller with your note, while also sending them straight to your voicemail.