SIMS 2 AND 3 ARE WORKING AGAIN!!!
Not sure why Sims 2 was fucked. I disabled a mod I had, and it seemed fine after that, so I assume that might be why. It had been working fine beforehand with the mod, but games can fuck up sometimes.
Sims 3 was more complex. I looked it up, did a lot of what internet forums said, made sure it was fully updated via Origin... PRAISE RUFUS it's working again.
So YAAAAAYYYYYYYY! Soon I can do updates on the Bancrofts and the Taylors. And I've now got a Sims 4 family I've gotten in to... oh, splitting my attention between 3 games... it can be done.
All fingers crossed that they continue to work. Sims 3 was more tricky but thankfully the Internet seemed to come up with the solution(s, I'm not sure what it was that got it to work) so I can just do them again if needs be (bloody well hope not).
PRAISE RUFUS AGAIN!!!ELEVENTY!!!!!!