Polmar and Friedman both claim, in their respective books (naval institute guide to naval weapon systems and Ships of US navy) that SPY array (refering to the first version from the late 80s) that each of the four spy-1 arrays has 8 transmitters and that each array can provide midcourse guidance for 8 missiles. That would mean, in theory, 16 missiles guided at one time toward one quadrant or up to 32 missiles guided in various quadrants. They do both add that there are other bottlenecks in fire control system which put the realistic number to about 20 guided missiles at the same time. Again, as this was the earlier version of the system, it is plausible that today's versions have a different FCS, enabling it to take advantage of the hardware of the array and fully utilise 16/32 guided missiles.
Coincidentally, the same author (friedman) talks about Thales' APAR system and says: "Each of the four arrays is devided into four independant quadrants, each of which has its own waveform generator and two missile guidance waveform generators (for both the missile uplink and terminal illumination). The array can, therefor, control the simultaneous engagement of up to four targets, managing up to eight missiles." That would mean two arrays can guide 16 missiles towards one quadrant or four arrays could guide 32 missiles at the same time. Since APAR illuminates targets on its own, unlike SPY, targets hit at the same time would be 8 in one quadrant or 16 altogether.