We've talked quite a bit about Fuhu's Nabi 2 tablet, which was designed specifically for children. Given its $200 price tag and powerful Tegra 3 processor, 1GB RAM, and Android 4.0, this device is not only great for the kids, but it packs a punch for parents, as well. (To get a better idea of everything the Nabi has to offer, check out my full review.)
The one downside of the Nabi 2, however, is its lack of Google Apps. That means no Play Store, GMail, GTalk, or any of the other services we've all come to rely on. Thanks to one enterprising dev over at XDA, though, the tablet has been rooted, gotten a custom recovery, and now has full access to Google Apps.
The process appears to be very straightforward and easy to follow, but requires a fully working ADB and fastboot setup, as well as the appropriate drivers. If you plan on giving this a shot, I suggest reading through the entire thread on XDA, as it contains solutions to a few issues that other users have run into during the process.
Once you're finished, you can download any ICS GApps package (such as this one from CyanogenMod) and flash it in recovery.
Good luck, and enjoy!