Bring a small saucepan of water to a boil. Add the lima beans and cook, uncovered, until very tender, about 10 minutes. Drain well and cool slightly.
Heat 2 tablespoons of the oil in a large skillet set over medium-heat. Add the onions and 1/4 teaspoon salt and cook, uncovered, until lightly browned in spots, 8 to 10 minutes. Add the jalapeno and garlic and cook until the jalapeno is tender, 4 to 6 minutes. Remove from the heat and stir in the lima beans and bell pepper. Cool the mixture slightly.
Place the vegetable mixture in a food processor along with 1 tablespoon of the remaining oil, 2 tablespoons water, the vinegar and 1/2 teaspoon salt. Process until smooth, scraping down the sides of the bowl as needed. Season with additional vinegar if desired.
Transfer the dip to a small serving bowl. Gently stir together the tomato, corn, remaining 1 tablespoon oil and 1/4 teaspoon salt in a small bowl. Right before serving, stir the parsley into the tomato-and-corn mixture and use a slotted spoon to scoop it on top of the dip. Serve with dippers such as blue corn tortilla chips and vegetables.
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