Preheat oven to 400°F. Lightly oil rimmed baking sheet or roasting pan.
Whisk together olive oil, rosemary, basil, thyme, and garlic in large bowl. Season with salt and pepper. Add delicata or butternut squash, acorn squash, carrots, parsnips, and onion; toss to coat. Spread in single layer on prepared baking sheet. Roast 45 minutes, or until vegetables are tender and beginning to brown, stirring every 15 minutes.