A lighting fixture can dispose a light source in a recess of a ceiling or another surface while providing at least one of three adjustments that facilitates installation or post-installation setup. The first adjustment can support mounting the fixture to surfaces of differing thicknesses while maintaining the light source at a uniform recess depth. The second possible adjustment can facilitate rotating a visible portion of the fixture, typically an aperture or hole through which light transmits from the light source into a room or some other illuminated space. After the lighting fixture is attached to the ceiling, a user can rotate the aperture for alignment with another fixture or another object. The third possible adjustment can provide an illumination pattern that can be tilted to various angles or oriented in various directions according to user preference or to establish a desired lighting effect.