The following link includes discharge curves of a wide variety of lithium ion cells. These are 18650 cylindrical cells.
You could test cells to get your own data. When I tested some cells I used a thermoelectric chamber to maintain constant temperature so my tests would be repeatable and comparable. A thermoelectric wine cooler is inexpensive and may be suitable for testing small cells. It would be designed to cool but could be modified to heat by reversing the current direction in the thermoelectric module. Typically I used it to maintain a nominal temperature such as 25 deg C. Charging can be provided using a power supply and power resistors can be used as loads. A data logger such as http://www.mccdaq.com/
and PC could be used to collect the data. You could design a test system such as described in the attached paper. Some hobby chargers contain active loads. Such a hobby charger could be used to charge and discharge the cell and some of these have data logging or PC interface features. I found some on the web and you could search for others.