If the bed is bordered by sidewalk/solid path, that's a good place for mints and mint relatives like lemon balm that are usually not planted in the ground, too. But be warned, they will take over.
Monarda/beebalm is also a mint relative but not as aggressive and planted for the flowers -- look for powdery mildew resistant varieties. (oops! Rainbow already mentioned Beebalm
Also, wild strawberries can grow there. I believe west coast species is Fragaria vesca
Not perennial, but self re-seeding cilantro/coriander would do well there as well.