You can find these payments on the Received Payments page in the Payments section. Choose Payments - Received. (If you are using an accounts integration, you will need to export two reports, one from the Not Reconciled payments report, and one from the Reconciled payments report).
Then click on the settings cog wheel on the right. Make sure you have turned on the Booking Date column.
On this column add a filter so that only future Bookings are shown, see below. Once the filter has been added, simply click on the export icon on the right to export the list to a spreadsheet file.
(Again, If you are using an accounts integration, you will need to export two reports, one from the Not Reconciled payments report, and one from the Reconciled payments report).