How can I produce a point shapefile (or simply point coordinates) that represent a systematic rectangular grid? At least three input variables would be required: distance between points, distance between rows of points and orientation (azimuth of rows). The purpose is creation of sample locations for natural resource surveys. I guess a fourth variable would be required as well: either a starting location or some definition of the area to be encompassed by the grid. Typically an area of interest can be defined by a polygon.
It doesn't have all the criteria that you have listed, but the Regular Points tool (