Pretty much this project can be split into three parts:
1) a suitable adjustable load (and a big one at ~1200w)
2) A suitable measurement system that can measure and integrate current wrt time to get battery capacity (and probably measure voltage so you can draw a discharge characteristic)
3) A method for controlling all that^^^^ stuff (micro controller etc
Each of those parts, whilst not difficult, is potentially non trivial and time consuming, especially if you want to be able to ensure you have a repeatable and accurate system (repeatability is probably more important than absolute accuracy i guess)
For the load, i suggest water cooling. 1200w to air is either a high temperature or a lot of air to move, 1200w to water is a lot less trouble (you have relatively "low" peak voltage (60v) so i think you could just about get away with simple isolation methods (assuming no 'public' or untrained access to your device. A total loss cooling system, running cold tap water from the mains would do (1.2kW with a 60degC upheat only needs 300cc/min (P = Mdot.Cp.DeltaT)
The actual load is more difficult. An Active load (pass transistors etc) that can accommodate any input voltage and any set current is getting a little big and pricey at 60v and 20A, but not too bad. Some chunky TO-3 NPNs would do the job, if cooled properly (the interface between the transistor and the water is going to require a bit of thinking about). Alternatively, as a starter, you might just decide to simplify with some basic power resistors, that can be switched in series or parallel to give some basic "ranges" for the discharge etc
Measurement of the battery voltage is less of an issue, but you need to establish what your system resolution is going to be like, potentially you might need some "range" switches again for your input dividers to maximise your resolution (depending on how many bits your ADC is etc
Current measurement is probably the biggest issue, and for a one off device, it's probably cheaper and more accurate to simply buy an off-the-shelf current transducer from LEM (or who ever) giving you a relatively high accuracy and isolated current proportional voltage that can be fed almost directly into your micro's ADC. Again, potentially two (selectable) ranges might be needed to maximise current resolution.
The control part is probably the easiest, pick your fav micro (PIC/AVR etc) and get coding! You'll want to add suitable safety monitoring for voltages (min and max) Current (min / max) possibly an additional battery isolator (large relay etc), battery temp measurement, load temp measurement etc.
I'd also suggest that the DUT is housed in a steel, fireproof box, kept somewhere that a fire will not lead to significant damage!
(LIPO's etc, can bite you, loosing your test device would be annoying, loosing your house, rather more so....... ;-)