A few starters:
Ornamental gourds; squash; cucumbers
scarlet runner beans
keep the beans picked inside the pen -- raw seeds are slightly toxic.
My idiot lab bites the vines off the pen when he's bored, so now he gets
"six shooter" type tall corn outside the pen for shade. My uncle's
labs never bothered gourds, squash or morning glories, but would eat any
cucumber they could reach.