- Equipping a weapon in the off-hand slot / a ring or trinket in the second slot via CTRL-Right Clicking (or any other combination) on it in the bags
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Off hand hand equip can be done with macros (same with rings) and binding addon. for the trinket try trinket menu
- Retrieving the items/money of a single mail in the mailbos by SHIFT Clicking on it (without opening)
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Can be done with a most mail addons, I use postal (not a shift click, but an open all/ open checked items)
- Moving items from the bag into a trade window / mail window / auction house by ALT-Right Clicking on it (if the respective window is open)
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I believe this is now done within the UI but as a right click
- Storing all equipped weapons per keybinding (in the keybinding menu)
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Can be done with a macro and binding addon
- Stopcasting per keybinding (in the keybinding menu)
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This can be done with a macro and a binding addon like bindpad (found here)
Not sure on the rest, but most can probably be done with macros, check out wowwiki and the mods/ui forum on the worldofwarcraft.com for coding and api