This is a list of the statuses I commonly use.
Online
editOnline
editI use "online" when my full attention is on Wikipedia, and I am likely actively editing it, but I am not too focused to work on anything else.
Busy
editI use "busy" when I am online but not available due to focusing on an issue.
Grey area
editAround
editI use "around" when I am currently on my computer, but not on Wikipedia.
Phone
editI use "phone" for when I am away from home on my phone, so my abilities will be limited.
Offline
editSleeping
editI use "sleeping" when I am going to bed.
Offline
editI use "offline" when I am on neither my phone, nor computer, and am not asleep. Usually if those are true I will leave a message explaining when I shall be back.