Bring a medium pot of salted water to a boil. Add the green beans and lima beans and cook until the green beans are bright green and the lima beans have softened slightly, 3 to 5 minutes. Drain and rinse under cold running water to cool. Cut the green beans into 1-inch pieces.
In a large bowl, combine the green beans, lima beans, corn, avocado, tomatoes, onion, jalapeno and basil. In a separate bowl, whisk the olive oil, vinegar, honey, 1 teaspoon salt and 1/2 teaspoon pepper. Add the vinaigrette to the salad and toss to coat.