Combine the cream cheese, sour cream, onion flakes and paprika in a blender or food processor fitted with a metal blade. Mic until smooth.
Add the oysters and parsley. Mix well until evenly combined, stopping and scraping the sides down with a plastic spatula when necessary.
Transfer the dip to a small serving bowl. Cover and chill for 30 minutes.
Trim and wash radishes, then dry with a clean teatowel. Peel carrots and cut into "sticks". Wash and dry celery, then cut into "sticks" and remover any "strings".
Place the dip in the centre of a serving platter. Arrange vegetables and cracker biscuits around the dip. Serve.