[Samsung Galaxy Tab Plus] Cptnodegard:
Ok, here's a challenge for you, and if you do manage to find an app, you will be my hero:

One of my most used apps on the iPad is a certain type of note taking app. I say a certain type rather than a specific app as there are quite literally dozens of these available on iOS now. This type of app will let me import documents - minimum requirement is PDF, but more types is better - and write on top of them. So far Android has alternative. Then you get to the most important feature, magnification mode. The way this works in all of said dozen apps is that you have a window at the bottom of the screen that shows a small portion of the screen magnified. This allows you to write big letters and have it be shrunk down. These boxes are resizable and can be set for various zoom levels. They also have auto-advance, meaning that when you get to the end of the box it automatically moves it so you just write from the beginning again. This way you can write sentence upon sentence just as you would on paper, and just as accurately, even with a normal capacitive stylus. Other features that are often in these apps include the ability to insert images, machine text, web clips, audio recordings etc. You will also need to have the ability to export PDF. There are apps on android that can annotate PDF, but not at that level. All semester I've been using the iPad and nothing but the iPad both in lectures and outside, scanning paper documents using Scanner Pro and an external camera, annotating them (this is why just text editing is useless - I need to be able to have 100% control over size, placement, angle etc of the text on a page, underline and make arrows and drawings all over the place, not just write some text down) and storing them for reading. Just had an exam with 900 pages worth of curriculum and notes, all read on the iPad, and created on the iPad to begin with in the case of notes.

That kind of app in particular is crucial, and it has to be able to do exactly what I mention here, no "almost" with missing the magnification mode etc. They even provided all the lecturers with iPads this fall, and they've been using the same types of apps connected to projectors via VGA (try finding a VGA adapter for the galaxy tab, btw :p).

This is just the ultimate example though, as it's not only the type of app I've used the most, but it's an app that is 100% productivity. No widgets, games or anything like that - it's a productivity issue, and an issue for Android's usability in settings outside of people who like to watch videos and play with ADWlauncher (which also includes me in my spare time, hence why I have an Android tablet).

Other examples off the top of my head: Splashtop's secondary product, xDisplay. It doesnt exist on Android (yet), and it's an example of an app where I don't care if there are "similar products" - it's the system I'm invested in and missing apps from major services like that is an issue. I could also bring up apps that have some sort of equivalent, but far from anything that works as good. Goodreader on the iPad -> ezPDF on Android, much less powerful app. Scanner Pro -> CamScanner, same thing, and they even broke 7.0 plus compatibility in the last update. There's no direct access app for the educational system my school uses, Classfronter, which isn't really an issue due to browser access but still an issue as it's slower. No good alternative to Reeder either, not that I've found anyways.

Education in itself is an interesting field. There are so many apps that make the iPad a powerful tool for both teachers and students on iOS. How about the ability to annotate documents wirelessly using Syncpad, an app that streams the image on screen to any HTML5 browser that's connected to the internet (not just local wifi)? Used that one a lot. Replaynote, letting you do notes and commentary and have it automatically turned into a video that you can send off to help people. Dictionary apps; when you study ENglish like I do, "a dictionary" isn't enough. You need as many as possible. That's iOS, not android.

Enough productivity. Fun apps. BBE's app has brought a music enhancement technology, that so far has only been licensed to Cowon for portable use, to iOS. There's no comparison to EQs in apps like Poweramp. Flipboard, awesome RSS reader that I use instead of Reeder when I want to relax, not read feeds for work. Tried Pulse, not the same, or even close. Neither is Currents. Zinio is luckily on both OSes though there are several magazines that are only available through Newsstand. Connecting the iPad to a synthesizer via USB and playing around with it on an amateur level is always fun.

Enough examples.

I love my 7.0 Plus. I love how personal the homescreen is after tweaking it, Google Talk on it is awesome, it's the device I reach for to check email in the morning, I love using a Wiimote for games, i use it as a mouse and keyboard for my PC in bed, remote control utorrent, browse the web, as a flashlight at night (LOVE that), video support makes me weep tears of joy, read books that aren't scanned A4 documents (and hence possible to reformat for 7 inches) etc. It's a great device, which is why I have it. However it isn't perfect. There's plenty of room for both OSes in my life, for the exact reason that neither is perfect.