Driving 60 signals one at a time, in constant sequence
Probably the simplest method is a bank of shift registers with ULN2803s attached to them.  Clock a 1 into the first bit, then clock all 0s into the rest and (if you use a non-latching shift register or a latching one with the latch permanatly in the open state), watch that 1 walk its way up through all your outputs in turn.