From what I've read elsewhere, the NJM4556 is high current that can be used to drive low impedance cans. The LM4562 is very good and should suffice for most applications. My understanding appears to be confirmed by rmouser's post #22 where he provides some useful specs about a number of opamps and notes that the 4556's have an output current of 70ma while the 4562's output is 26ma. Unless you are driving something difficult, you may want to just go with the LM4562.
I just got the Starlight over the weekend and like cheaphifi notes, the amp is pretty powerful in stock L2 configuration. It's a great little amp. Love the "kit" look, quality of the construction, and Jeremy is great to deal with. Now I need a small arsenal of tubes to try out for fun!
Thanks for the confirmation! :)
I think I will go for the LM4562 since I will be using 16Ohm cans and most probably not touching those 600Ohm cans