Almost any fruit is excellent here - even peaches, nectarines and cherries would work well. Use what strikes you for dessert and serve with sugar cookies. The ginger-mint syrup is especially good when your fruit needs a little extra sweetness.
For the syrup, simmer the sugar, water, mint, ginger, lime zest and juice in a saucepan over medium heat until reduced by half, about ten minutes. (You do not want to overcook or the syrup will become bitter and thick.)
Strain the syrup into a small bowl and let come to room temperature. Place in the fridge to chill for at least two hours.
Prepare fruit and chill at least one hour.
Right before serving toss fruit and syrup together in a large bowl. Serve immediately.