iPad: We've covered Flash video-capable browsers for iOS before, but iSWiFTER just updated with the express intent to let you play Flash games on your iPad.
A quick test with the free version (to play more than 30 minutes, you need to spend $5.49 to upgrade to the full version) showed a little bit of fuzziness in the graphics, but otherwise really smooth gameplay on the Flash sites. You're not going to get desktop performance, but for click-and-wait games that Facebook is known for, it's more than enough. And if you're dying to get your Flash games on your iPad -- because it's more of a natural experience -- $5.49 isn't too ridiculous a price.
The download is free so you can check it out before you buy.