1. Combine chocolate and milk in small microwave-safe bowl. Microwave on HIGH 1 minute, stirring after 30 seconds. Stir until smooth. Cool slightly.
2. Combine cottage cheese and next 4 ingredients (through vanilla) in food processor and process 2–3 minutes, stopping to scrape down sides once or twice, until very smooth. Add chocolate mixture; process until smooth and blended.
3. Spoon pudding into individual serving dishes. Top with chocolate shavings, if desired, and serve with a wafer.