Melt 1/3 of the butter in a large skillet over medium-high heat.
Add garlic and saute 1 minute. Add shrimp and cook until pink, about 2 minutes on each side. Remove shrimp from skillet using slotted spoon and set aside. Add remaining butter to skillet and melt. Add broccoli, mushrooms, oregano, thyme and basil and saute 2 minutes. Add zucchini and continue cooking until vegetables are tender, about 2 minutes. Reduce heat to low. Return shrimp to skillet and heat through. Arrange vegetables and shrimp over spaghetti. Top with remaining garlic butter from skillet. Sprinkle with Parmesian and serve immediately.