What are some anime and manga with a good dose of social criticism?
Pic related, although I'd rather have one that didn't throw it out in lieu of an actual story. And yes, I know about the Excel Saga manga.
Fruits Basket has a few good bits and pieces here and there, although it's much more focused on person-to-person relationships. (And the thing about locking up the cat so the rest of the Zodiac can look down on someone is very different in nature from taking potshots at the economy and the prime minister and such.)
Nekojiru Gekijou. The TV series, not the OVA.
Kino no Tabi
Toward the Terra
Social criticism and plot don't mix well unless you just want to watch one issue get rammed into your skull.
Some of the best anime I've watched had one issue rammed into my skull. Gundam with war, for instance.
20th Century Boys
Anything Miyamoto. Lots of commentary about the environment and what have you, but I figure most everyone knows that by now.
Shigofumi, I think? Didn't watch it, but it seems to deal with social issues.
Ode to Kihirito if manga is fine.
Hokuto no Ken
Almost al anime has some issue to talk about but little counts as proper social criticism.