1. Pulse first 4 ingredients in a food processor until smooth. Add thyme and next 2 ingredients; process until finely chopped.
2. Spread 1 Tbsp. cream cheese mixture onto each bread slice. Top with candy-cane beets and chives, or sliced squash and salmon caviar, pressing lightly. Trim crusts from bread. Cut each bread slice into 4 squares or 2 rectangles.