Because someone needed to start this damn thread! I found this on GoNintendo.
Do old codes work with World?
Yes, it says as much on the wiki page. Nobody reads wiki pages lol. So often I see questions asked that could be answered by glancing at our very own wiki.
I just tried it with my old Dave Review Avatar QR code. Note that only Pushmo puzzles can be shared between Pushmo and Pushmo World, not Crashmo puzzles.
I scanned my old QR code from here: http://www.giantbomb.com/pushmo/3030-36926/forums/official-thread-for-pushmo-qr-codes-527934/?page=1#js-message-5026569
And it turned into this:
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