1Password- Password and information storage.
Dropbox- Cloud file storage.
Write- Note taking that syncs immediately with dropbox so I can access it on all my devices. I have it on my iPhone, iPad and my Mac.
Evernote (occasionally)- Note taking. Not my favorite but I use it on occasion to switch things up a bit, not often though.
iA Writer- Word processor. You don't have to worry about fonts and obtrusive toolbars, all you do is write. Makes focusing on writing much easier with a focus mode as well. This is on all of my devices as well as it allows me to pick up right where I left off.
Instapaper- For reading articles off-line.
Downcast- Podcast catcher.
Calendar- Self explanatory.
Mail/Mailbox- Again, self explanatory. However, I haven't fully moved to Mailbox as it is only for Gmail.
Tapatalk- Amazing forum app. If you frequent many different forums this is a must have.
Notability- Best note taking app I have used. Tried others but I always come back to Notability. Only on my iPad but it syncs with my Dropbox, so I can access my notes on my other devices.
CNN- For the news, obviously haha.
Pages- Almost didn't list this but I do use it from time to time for writing papers. But I almost always choose iA Writer. I haven't had the best of luck with syncing from my iPad to my Mac, sometimes it works sometimes it doesn't. iA Writer always works.
I have some of other productivity apps but most of them I barely use. There are a couple that I wish I used more like Wunderlist and Wordpress but I just haven't taken the time to utilize them. I'm considering starting my own blog about technology and doing reviews so Wordpress is an obvious solution but I just haven't had the motivation to start it (mainly I'm nervous/scared that it will fail). Sorry for the rant.