If using wooden skewers, soak them in water for at least 30 minutes before use.
Prepare the marinade by whisking together olive oil, lemon juice, minced garlic, oregano, thyme, smoked paprika, salt, and pepper in a medium bowl.
Cut all vegetables as directed, keeping sizes uniform. Place in a large bowl and toss with half the marinade. Let stand for 30 minutes at room temperature.
Preheat your oven to 400°F (200°C) or prepare grill for medium-high heat cooking.
Thread vegetables onto skewers in a repeating pattern, leaving small gaps between pieces. For visual appeal and even cooking, alternate colors and textures.