Another vote for Earl of Sandwhich...
However if you want a Subway or a Quiznos they are both located just off Disney property by Downtown Disney. If you take Hotel Plaza blvd (where the non Disney hotels are across from Downtown Disney Marketplace) out to 535, Quiznos will be in the Crossroads shopping plaza which is straight across at the light (Hotel Plaza Blvd and 535)...For Subway you would make a left onto 535 and turn left at the next traffic light (shell on left corner, 7-11 on the right)... it is in the plaza that the Shell is in. Depending on where you are coming from on property will depend on how long it takes to get there, but it is only about 5 minutes from Downtown Disney...