Heat oil in deep 12-inch skillet over medium. Brown sausages 6 to 8 minutes, turning to color several sides. Plate partly cooked.
Cook onion and peppers in same skillet 7 minutes, stirring occasionally, until edges soften. Stir in garlic 30 seconds.
Add wine; simmer 2 minutes, scraping bottom. Add broth, oregano, and pepper; return sausage with juices.
Cover; simmer over medium-low 10 to 12 minutes until each sausage center reaches 160°F. Carefully stir beans into spaces around links.
Uncover; simmer 3 to 5 minutes until beans hot and liquid lightly coats vegetables. Add vinegar; serve one link with one-quarter peppers and beans per person.