Visible diffuse downward solar flux
This is a measure of radiation in the visible spectrum that isn't directly from the sun. At the surface of the earth this flux would be the rate of energy flowing into a 1 square meter patch of earth from reflection of sunlight (scattering) and from the rest of the sky and clouds that isn't the direct path from the sun.
Upward longwave radiation flux
This is the rate of energy flow from the sum of all terrestrial emission. At the top of the atmosphere this would be the terrestrial energy escaping to space (per square meter).
Near IR beam downward solar flux
This is the same as the visible beam downward solar flux except it is in the near IR band (infrared wavelengths longer but close to that of visible red) rather than in the visible spectrum.
Downward longwave radiation flux
This flux is terrestrial emission sources that send energy downward toward the earth. This energy would come from clouds, the atmosphere (greenhouse gasses), etc.
Downward solar radiation flux
This is the total shortwave flux (visible + IR + UV, etc; beam and diffuse) downward through the top of atmosphere or at the surface.