I know for sure you can get Churros at the Mexican counter service at Epcot b/c I got a couple there myself before Illuminations. I don't know about funnel cakes and I think there may be other Churro venders.
I remember that there was a funnel shop in the america side near the outside theathre. I havent had a funnel cake from there lately so I cant promise if its still there. And lizzybee is correct on the churros.
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