Hi Sourapple and welcome to Android Forums!
First of all, we dont expect you to bash your iPhone here. Android and iOS do many of the same things, only... differently. So no bashing needed. And no personal attacks are tolerated here, so if anyone starts in with the "fanboi" garbage, LET ME KNOW
Second, and on to answering your question...
Here are my must-have Android apps, available in the Google Store:
AirDroid - allows you to wirelessly move files to the PC, and even read & answer texts and e-mails on your PC screen.
Amazon Appstore and Amazon mp3. Amazon has their own Android app store with a free app every day; and their music collection is groovy.
AVG - antivirus and anti-malware. Get used to scanning for it.
Camscanner - scan documents into file or PDF format, then e-mail, text or fax them.
Cerberus - an AWESOME anti-theft app. You can hide it from the app drawer so no one knows it's there, lock the phone, snap a pic of the phone thief remotely without their knowledge, message them, and remotely wipe the phone if it's gone for good.
Chrome Beta - my default browser. Excellent.
Dynamic Notifications - This does what the Moto X's Active notifications do: tell you what you just got with a preview, rather than just a flashing LED.
Feedly - my favorite RSS reader.
InCall Recorder - does what it says. Check local laws before using
Google Play Music - my fave music player.
SwiftKey Keyboard - the #1 Android keyboard replacement.
That's it for now. Whew!
It's great to have you here