Lackey’s Day? Bootlicker’s Day?
Maybe Spanish will give it an authoritative ring:
Dia de perezoso empleado
I like it!
I…I think I’m misting up, Steve. You have so perfectly captured the spirit of working in “the new millenium” (btw, when the heck are we going to come up with a decent name for this decade???)
Ah, another day, another proposal . . . 
The truth is we both know you’re way too good for me, despite your lamentable propensity for stealing the balls of mice.
So how do we celebrate “The Day After Bosses’ Day”? Surely Hallmark has a card for it.
It’s not so bad. A paycheck is a paycheck. There are also some benefits. For example I only have to remember one name thereby eliminating embarrassing office faux pas.
What, “good” is now code for agnostic, effete, and liberal? 
And stealing a man’s balls once doesn’t mean it’s a propensity.
Things have gotten so bad between us that he doesn’t even call me or my coworkers from his own phone, as we all have caller id. So he makes his calls from partners’ offices, because he knows we have to pick up when they call.
Bastard.
The “Day After Bosses’ Day” is traditionally settled on the queue while waiting for one’s unemployment insurance check.
As a former boss (retired), I too hated Boss’s Day and was more than willing to do away with it, in return for getting rid of Secretary’s Day. I will miss going to buy the turkeys, two days before Thanksgiving, mainly because I never listened to those people that said “I don’t like turkey, why doesn’t he buy us hams?”