Mod note: feel free to move this to iPad Applications (or wherever) if you feel it is appropriate. I only created this here because I think non iPad optimized apps might pop up and general use might fall under general discussion. Thanks.
What apps live in your dock?
Right now I have four items in my Dock which I'll go over, from left to right:
Hangouts:
This is my (mostly) unified chat client and phone. With Hangouts I can make or receive phone calls with my Google Voice number and text or video chat with my friends and professional contacts in one place. I spend a lot of time using this app. Once SMS integration comes to Hangouts it will be truly unified.
AirBridge:
AirBidge allows me to copy and paste text and videos from my Mac to my iPad and visa versa easily. While this is a pretty simple utility I find that I use it much more than I originally thought I would after downloading it. It's extremely useful for odds and ends.
Mail (Native):
Despite using the native Mail client I have reached inbox zero. For me it accomplishes what I need it to do in a pretty efficient flow. I've tried Mailbox but really couldn't get into how it doesn't manage my folders and promotes procrastination. As it stands I still rely on email for a lot of important things so it's more than essential that I have quick access.
Safari:
I'm locked in with Safari. To be honest I've really managed to get used to advertisements. On my MacBook I had always used add ons like adblock so the change was sort of painful at first but most websites I visit are pretty non obtrusive. Keychain access in Safari is also essential for how I've set up my passwords. I'm one of the few people that prefer browsing the actual internet instead of interfacing a service via app in most cases.
I think this reflects my approach with using iPad, in that I'm utilizing it in equal parts for productivity, entertainment and communication.
You don't have to go into detail like I have but definitely feel free to share what apps live in your dock!