I have the base game, World Adventures, Ambitions, and now Generations.
So, Base, EP01, EP02, and EP04.
And may I ask why you don't have Showtime? I played a lot during the first few expansions but I stopped playing for a few years. I'm wondering which packs are awesome and which aren't worthwhile.
And just to be clear I had my main administrator Mac account ("CPUGenuis") and I created a secondary administrator Mac account ("Sims"). You can have multiple users concurrently logged in on Mac. So, I would log in as CPUGenuis and do my usual stuff, switch user and log into "Sims" and open Origin. I would start the downloads and switch back to CPUGenuis and do whatever while the downloads were going. I would then switch back to "Sims" to install them. Since the Applications folder is shared between users the core game and expansions work just fine. The individual saves as well as caches and some cookies are stored in the local user's documents folder and Library folder. So, I can play from either account but they would have different saves.
The cookies are different in each account. The "Sims" account only has the base game com.trans* cookies. The CPUGenuis account has the base game com.trans* as well as the ep04 cookie.
Also, terminal shows all 4 product keys for CPUGenuis but only the base game key for "Sims".
I'll have to check with text edit in a few hours.