With a sharp knife peel all the oranges and grapefruit. Separate the tangerines into segments. With a serrated knife, slice the fruit into 1/2 round slices. Slice star fruit. Arrange on a platter overlapping the fruit into "shingles".
In a small bowl, mix the honey, zest and juice of 1 lime and 1 TBSP of orange juice until well combined. Slice through the burrata and arrange in center of fruit.
To serve, drizzle the honey over the fruit and cheese. Top with herbs.