Donald Duck's Playground!

Although I guess that's more a game about temp work, not employment. You take on several jobs so you can buy toys for your nephews to play with.

And from what I've read there's some tedious work to be done in Always Sometimes Monsters (stacking crates or something like that; then again things like that are probably featured in several games as sidequests - and Sokoban is all about moving crates in a warehouse, except you don't seem to get paid for it ;) ).

Also what about those time-management games in which you have to babysit or serve customers or something, do they count? Btw, what was the original old-school / arcade game that has you serve thirsty patrons in a bar or something? Or is that already a variant of something older? There are probably more old games like that, depending on how open or narrow your definition is (e.g. in Burger Time, you're a "chef" who has to assemble burgers; it definitely fits the definition of "weird", seeing that your enemies are eggs and sausages :D).

Would you consider the coding-based games, like TIS-100?

And Human Resource Machine.

I'm not sure those are what you're looking for.

anyways me being weird aside.

Mainlining is also akin to Papers Please and is available here on GOG as well

https://www.gog.com/game/mainlining

there is also orwell:

https://www.gog.com/game/orwell

and its sequel/remake Orwell Ignorance is Strength:

https://www.gog.com/game/orwell_ignorance_is_strength

also Shenzen I/O is another job based game, done by the guys who did spacechem and Opus Magnum

https://www.gog.com/game/shenzhen_io

deleted

off topic

Speaking about employee : http://store.steampowered.com/app/728090/CIBOS/

I don't know TIS-100, but I think Human Resource Machine is a very good fit. IIRC, in that game you even have a boss talking to you from time to time, and colleagues gossiping about stuff in the office's coffee break.

I expected http://store.steampowered.com/app/448280/Job_Simulator/

That reminds me, there is also Viscera Cleanup Detail.

LOVE THAT GAME

Speaking of which, doesn't Serial Cleaner fits?

Granted I didn't play it, but it seems the weirdest job to be gamified ever.