Some good apps to cut back on battery wastage or just cutting back on the bloat (pretty sure they all need root):
App Quarantine to disable applications (especially stock apps) that you aren't 100% sure you want to delete but don't want constantly running in the background.
AutoStart Manager to disable receivers for various apps and system processes for various phone activity (eg on startup or when the power is connected or connectivity is changed).
AdFree
-==-==- Just other good apps
Rotation Locker (has an auto mode - need to set it to persistent with NII- and choose a wider picture for the background (fill out those side-brackets in the wallpaper selection screen)) if you want to use your phone in landscape mode sometimes.
Audio Manager Pro is also awesome for setting custom profiles such as "Silent, Vibrate, Night/Day" and toggling between them easily.
URLy - uploading pictures (and also shortening links).
iTag for getting album art..one by one - also never choose "set as art for album" when you are browsing "All Songs"
ColorNote lets you have a readable note widget
SeriesGuide works well for telling you upcoming/recent favourite tv shows
If you are in the UK, TVCatchup lets you watch all the live digital tv channels
Oh and before I forget (I got my 32GB today) - GL to SD - to save space from large games:
---This lets you move files (similar to app2sd - which doesn't work with note 2) to your SD card. Mainly used with gameloft games but also shows SOME others like GTA III, Max Payne, Splice, Metal Slug, Mini Motor, the Sonic games, JSR etc. But you have to launch them from the list in the app itself. Also make sure to choose "Unmount and Exit" from the options when you are done otherwise I think other normal apps will start writing data to the external card instead of the main one, which isn't great -not entirely sure how heavy multitasking would affect it but seems to work fine. It auto mounts when running the apps. It will transfer the data files too if they are already there (which is how I've been doing it). You may see duplicates in the list.